Solve for x over the complex numbers. x2+10x+41=0

Answers

Answer 1
The correct answer is X= -5±41
Answer 2
x²+10x+41=0
using x=(-b±√b²-4ac)½
where a= 1
b=10
c=41

x= (-10±√10²-4×1×41)½
x=-5 ± √(100-164)
x=-5±√(-64)½
x=-5±4i
x=-5+4i or -5-4i
where i= √-1

Related Questions

At the beginning of the week, Naveen has 87 trading cards. On Monday, he gets 9 more. On Tuesday, he gives 16 away. On Wednesday, he is given 3 by a friend. On Thursday, he sells all of his cards to a collector. The collector pays him a rate of c for every card that Naveen has. If Naveen earns $124.50 from the sale, what is c, the rate that the collector pays for each card?
$1.08
$1.50
$41.50
$83.00

Answers

the answer to your problem
is
$1.50

The answer is $1.50
87+9= 96
96-16=80
80+3= 83
$124.50/ 80= $1.56 per card,
$1.50 is the closest option to the exact answer

HELP PLEASE
What Property Of Addition is this ?

3 + (8 + a) = (8 + a) + 3

Answers

I think that is commutative property.
The answer for your question would be Commutative Property because if u solve 3 + (8 + a) and (8 + a) + 3 they both have the same sum, just different places and as a result its still a + 11 which is there solution. *I take no credit for the pic below I got it off google.

BRAINLIEST TO BEST ANSWER!!!

What are the domain and range of the function???

Answers

the curved line starts at (6,0) so the domain is x≥6

 the range is the Y value, since the curved line continues off the graph and does not cross over the x axis the range would be y≥0

Which has the smaller scale: a map on which 1 inch equals 200 miles a map on which 1 inch equals 100 miles?

Answers

A map on which 1 inch equals 200 miles has a smaller scale than a map which 1 inch equals 100 miles. Applying the same concept to a pan of brownies, 1 piece out of 200 pieces would be smaller than 1 piece out of 100.

Suppose a triangle has sides 3, 4, and 5. Which of the following must be true?
A.The triangle in question is not a right triangle.
B.The triangle in question is a right triangle.
C.The triangle in question may or may not be a right triangle.

Answers

Answer: B.The triangle in question is a right triangle.

Step-by-step explanation:

The Converse of Pythagoras theorem says that if the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides then the triangle is a right triangle.

The given sides of triangle : 3, 4, and 5.

Here, Measurement of largest side = 5

Then , [tex]5^2=25[/tex]

Also, [tex]4^2+3^2=16+9=25[/tex]

[tex]\Rightarrow\ 5^2=4^2+3^2[/tex]

Hence, by the converse of Pythagoras theorem, the triangle in question is a right triangle.

Answer:

HAS TO BE A RIGHT ANGLE

Step-by-step explanation:

…..

Which of these is the statement of the zero product rule?
A. If a • b = 0, then either a = 0 or b = 0, but not both.
B. If a • b = 0, then a = 0 and b = 0.
C. If a • b = 0, then a = 0.
D. If a • b = 0, then either a = 0 or b = 0, or both.

Answers

Answer: Hello mate!

If you have any real number A; you always have that:

A*0 = 0

this means that the product between a number A and zero, is equal to zero, and this is for every number. (note that A can be equal to 0, and 0*0 = 0)

Then if a*b = 0, you know that, at least one of the numbers is equal to zero, and there is possible that both numbers are equal to zero.

And with this information, you can see that the right answer is D.

"if If a • b = 0, then either a = 0 or b = 0, or both."

because:

0*b = 0

a*0 = 0

0*0 = 0

Final answer:

The zero product rule states that if the product of two multiplicands equals zero, then at least one of the multiplicands must be zero, which is correctly represented by option D.

Explanation:

The correct statement of the zero product rule is: If a • b = 0, then either a = 0 or b = 0, or both. This is accurately represented by option D. The zero product rule is a foundational concept in algebra that asserts when the product of two or more numbers or variables equals zero, at least one of the multiplicands must be zero. It's crucial for solving equations where a product is set equal to zero, as it allows for each factor to be set equal to zero and solved individually. This rule is pivotal in finding solutions to polynomial equations, among others. For example, in the equation (x + 2)(x - 3) = 0, applying the zero product rule we set each factor equal to zero: x + 2 = 0 or x - 3 = 0, leading to the solutions x = -2 or x = 3, respectively.

The Witches coven are making a potion and Ethel, Glinda, Locasta and Circe each add a different ingredient. When the potion is finished, there is 1/4 of the bat blood left, 1/3 of the knotgrass, 1/2 of the moonstone and 5/8 of the unicorn hair. Ethel used the most. Glinda used the least. Locasta used more than Circe. Who used the moonstone?

Answers

Circe. Given that the four witches each added a different ingredient and since the absolute amount of each ingredient isn't mentioned, I will assume that "most", "least" and other comparisons are referring to fractions. So first, let's order the ingredients from least to most in terms of fractions. The easiest way to compare them is to calculate the least common denominator for the 4 fractions involved and convert all the fractions to use that common denominator. For 4 and 3, the LCD is 12. And 12 works ok for 2, but it won't work for 8. The LCD for 12 and 8 is 24 and that will work for all of the fractions. Bat Blood 1/4 - 6/24 Knotgrass 1/3 - 8/24 Moonstone 1/2 - 12/24 Unicorn Hair 5/8 - 15/24 So we now have the ingredients properly sorted by how much is left over, so the most used will be the 1st in the list and the least used will be the last. Now let's look at who used what. "Ethel used the most." Which would mean that Ethel used the Bat Blood. "Glinda used the least" Which would mean that Glinda used the Unicorn hair. "Locasta used more than Circe" Circe hasn't been mentioned yet, but there's only 2 ingredients that haven't been claimed. So it's safe to say that Locasta used the most used of the two ingredients unclaimed. And that would be Knotgrass. So the final question is "Who used the moonstone?" and there's only 1 witch that hasn't been assigned an ingredient. And that witch is Circe. So Circe used the moonstone.

The moonstone was used by [tex]\fbox{\begin\\\ \bf Circe\\\end{minispace}}[/tex].

Further explanation:

It is given that a potion is prepared by a group of witches. The members in the group are Ethel, Glinda, Locasata and Circe.

The ingredients used in the preparation of the potion are bat blood, knotgrass, moonstone and unicorn hair.

Each member of the group add a different ingredient which means that no two member of the group add the same ingredient.

As the preparation of the potion is finished it is observed that the [tex]\dfrac{1}{4}th[/tex] of the bat blood is left, [tex]\dfrac{1}{3}rd[/tex] of the knotgrass is left, [tex]\dfrac{1}{2}nd[/tex] of the moonstone is left and [tex]\dfrac{5}{8}th[/tex] of the unicorn hair is left.

From the above statement it is concluded that [tex]25\%[/tex] of the bat blood is left, [tex]33.33\%[/tex] of the knotgrass is left, [tex]50\%[/tex]of the moonstone is left and [tex]62.5\%[/tex] of unicorn hair is left.

Therefore, the percentage of ingredients used in the preparation of the potion are as follows:

Bat blood: [tex]75\%[/tex] is used

Knotgrass: [tex]66.67\%[/tex] is used

Moonstone: [tex]50\%[/tex] is used

Unicorn hair: [tex]37.5\%[/tex] is used

As per the question Ethel used the most so, the ingredient bat blood was used by Ethel.

As per the question Glinda used the least so, the ingredient unicorn hair was used by Glinda.

It is given that Locasta used more than Circe so, the ingredient knotgrass was used by Locasta and moonstone was used by Circe.

Therefore, the ingredient moonstone was used by [tex]\fbos{\begin\\\ \bf Circe\\\end{minispace}}[/tex].

Learn more:

1. A problem to determine the equation of the line https://brainly.com/question/5337932

2. A problem to determine the point slope form of line https://brainly.com/question/4097107

3. A problem to determine range of the function https://brainly.com/question/1435353

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Percentages and Fraction

Keywords: Percentages, fraction, Ethel, Glinda, Locasata, Circe, potion, bat blood, knotgrass, moonstone, unicorn hair, numbers, witches, coven, simplification.

I have time until Friday, December 1. Please help me!! I’m really confuse with problem. Question is “Find the measure of the angle marked «X» ” Thank u in advance!!!!!

Answers

ΔBDA should = 180°
∠D + 60 + 50 = 180
∠D + 110 = 180
∠D + 110 (-110) = 180 (-110)
∠D = 70
Due to vertical angles (theorem?), the ∠FDE is also 70°

to find ∠DFE, find ∠BDF
∠BDF = 180 - 70 (this 70 is from ∠D)
∠BDF = 110

∠BFD = 180 - 110 - 20
∠BFD = 50


∠D = 70

ΔFDE = x + 70 + ∠F

ΔAD'E = 180
∠D' = 70

∠DFC = 110
angle bisector states that it makes two equal angles
110/2 = 55
∠DFE= 55

180 - 70 - 55 =
180 - 125 = 
55
x = 55°

I'm hoping that this is right
& hope this helps

The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is 2l + 2w = 16, where lrepresents the length of the rectangle and w represents the width of the rectangle. Which value is possible for the length of the rectangle?

Answers

It is basically a trick question. Firstly we have to ficus on the given formula to get to the answer for this question.


2l + 2w = 16

2(l + w) = 16

l + w = 8

l = 8 - w

Mow w cannot be less than 1. So the length of the rectangle cannot be more than 7. So we can conclude that 7 inches is the correct option or the first option is the correct option among the given options. 


Hope this helped!!!!!

You push the ball with a force of 22.8N which includes a- 2.3N frictional force. So, what is the net force while you push the ball?

Answers

-------22.8 N ------> O <--2.3 N --
They are opposing forces. you subtract the frictional force.

22.8 N - 2.3 N = 20.5 N

A candle is 17 in. tall after burning for 3 hours. After 5 hours, it is 15 in. tall. Write a linear equation to model the relationship between height h of the candle and time t. Predict how tall the candle will be after burning 8 hours.

Answers

let x = time of burn , y = length 
x = 3 , y = 17 
x = 5 , y = 15 
m = (15 - 17)/(5 - 3) = -2/2 = -1 
y - 17 = -1(x - 3) 
y = -x + 20 

at x = 8 => y = 12 in   Hope it Helps :)

Find the measure of <1 https://dlap.gradpoint.com/Resz/~Oiy9AAAAAAAalw2BXk3OdA.9zC7krSp46P2biI_hAq6AC/213679,9DE,0,0,0,0,0/Assets/testitemimages/geometry_b/area/mc050-1.jpg

Answers

The measure of angle 1 is 60* since it is 1/6 of 360*.

The density of water is 1.0 g/cm3 how many deciliters of water will fill
a.5-l bottle

Answers

50 deciliters of water will fill a 5-l (5 Litre) bottle as 10 deciliters = 1litre. The density of water is not required to answer this question. It can help us to find the weight of water in a 5-l bottle and it will be 5000 grams or 5 Kilograms.

Which conjunction or disjunction is equivalent to the following inequality?
|a - 9| ≤ 4

a - 9 ≤ 4 AND a - 9 ≤ - 4

a - 9 ≤ 4 AND a - 9 ≥ - 4

a - 9 ≤ 4 OR a - 9 ≤ - 4

a - 9 ≤ 4 OR a - 9 ≥ - 4

Answers

Use the general definition:

|x - a| ≤ k => - k ≤ x - a ≤ k

So, |a - 9| ≤ 4 => - 4 ≤ a - 9 ≤ 4

Which is a - 9 ≥ - 4 and a - 9 ≤ 4.

That is the second option.

Answer: a - 9 ≤ 4 and a - 9 ≥ - 4

Answer:

a - 9 ≤ 4 and a - 9 ≥ - 4

Step-by-step explanation:

52 thousand in scientific notation

Answers

52000 in scientific notation = 5.2 × 104

The scientific form of the number 52 thousand is 5.2×10⁴.

What is scientific notation?

In scientific notations numbers are written in the form of a base that is

0  ≤ b < 10 and multiplied by 10ⁿ where n represents integers.

We write large standard numbers in scientific form in a compact manner.

Given, A number 52 thousand in standard form which is, 52000.

Now, The base would be 5 and the rest part would be in decimals raised to an appropriate exponent which is,

= 5.2×10⁴.   (as we have moved the decimal 4 places left)

learn more about scientific forms here :

https://brainly.com/question/1422306

#SPJ2

A ringtone company charges $9 a month for the service plus $1.25 for each ringtone downloaded.

What is the graph of the equation that models the total fees per month?

Answers

The answer is C because the graph has to start at 0 because it won't be until the first month where you will need to pay the 9 dollars a month plus the 1.25 service fee
 

Convert 30 feet per second to miles per minute.

5280 ft = 1 mi



Round to the nearest hundredth.

Enter your answer in the box.


____mi/min

Answers

30 feet per second x 60 = 1,800 feet per minute

1,800 feet per minute / 5280 = 0.34 miles per minute


What happens when you multiply a fraction by 1?

Answers

If the bottom number is the same thing as 1 then it will be 1, if not, then it will be a mixed fraction

Alana bought a stock, which dropped 10% from the previous day. the total cost of her stock, with the price drop, was $253.10. Which equation could she use to find the price of the stock before the price drop?

A.)z=253.10+0.10

B.)0.10z=253.10

C.)z+0.10(z)=253.10

D.)z-0.10(z)=253.10

Answers

The price of the stoke is denoted with Z.
Alana's total cost with the price dropped included is $253.10. This means that we can write the equation:
total cost with the price drooped=price of the stock before the price dropped - the dropped price

$253.10=Z-0.10(Z)

or, rewritten:

D.)z-0.10(z)=253.10
i believe it is  
z-0.10(z)=253.10

Can someone please graph this equation? 5-8x =16-8x

Answers

First, we need to isolate x. We can do this by using inverse operations.

5 - 8x = 16 - 8x
Add 8x to both sides.
5 + 0 = 16
5 = 16

This line is not possible to graph.

Are number 2,3,5,7 and 8 correct?

Answers

Short Answers (see section below this one for further explanation):

Reason 2: Same Side Interior Angle Theorem

Reason 3: Definition of Supplementary

Reason 5: Definition of Congruence

Reason 7: Definition of Supplementary

------------------------------------

Explanation:

Reason 2: The "Same Side Interior Angle Theorem" is the idea that if we know two lines are parallel, then the interior angles on the same side of the transversal line will be supplementary (add to 180 degrees). In other words, the two angles can be combined to form a straight angle

Reason 3: If we're told two angles are supplementary, then by definition it means they add to 180 degrees.

Reason 5: If two angles are congruent, then they have the same measure (eg: both are 60 degrees)

Reason 7: This is the reverse of reason 3, more or less. If we know two angles add to 180 degrees then we can say they are supplementary. When it comes to definitions we can reverse it (i.e, if P, then Q reverses to if Q then P)

the weight of a rectangular block of metal varies jointly as its length, width and thickness. If the weight of a 13dm by 8dm by 6dm block of aluminum is 18.2kg, find the weight of a 16dm by 10dm by 4dm block of aluminum??

Answers

18.56kg. 18.6kg=rounded off hope this is helping and is right

what formula can be used to describe the sequence ?

Answers

I think this is the 3 one... can i have brainliest?
Answer:

The  formula which can be used to describe the sequence is:

                [tex]f(x+1)=2f(x)[/tex]

Step-by-step explanation:

The sequence is given by:

         [tex]-2\dfrac{2}{3},-5\dfrac{1}{3},-10\dfrac{2}{3},-21\dfrac{1}{3},-42\dfrac{2}{3},.....[/tex]

The terms of the sequence could also be written as:

[tex]\dfrac{-8}{3},\dfrac{-16}{3},\dfrac{-32}{3},\dfrac{-64}{3},\dfrac{-128}{3},....[/tex]

This means that the first term of the sequence is:

[tex]f(1)=\dfrac{-8}{3}[/tex]

The second term of the sequence is:

[tex]f(2)=\dfrac{-16}{3}\\\\i.e.\\\\f(2)=2\times \dfrac{-8}{3}\\\\i.e.\\\\f(2)=2f(1)[/tex]

[tex]f(3)=\dfrac{-32}{3}\\\\i.e.\\\\f(3)=2\times \dfrac{-16}{3}\\\\i.e.\\\\f(3)=2f(2)[/tex]

and so on.

                 Hence, the formula is given by:

           [tex]f(x+1)=2f(x)[/tex]

Which of the following represents x =1/2 y written in general form?

Answers

general form= x-1/2 y=0             

Answer with explanation:

The given expression is

  [tex]x=\frac{1}{2}\times y[/tex]

Which is equation in two variables , x and y , representing a line.

The general form of line is,

   Ax +B y +C=0

Writing the above equation symmetrical to general form of line

→  2 x=y

2 x-y=0, is the general form.

What is the answer to this math problem below:

Answers

the answer is 5/6 or 0.83
okay so first you flip one fraction and multiply
x+8/2 * 5/3x+24
then simplify
3x+24 = 3(x+8)
now cancel like terms
(x+8 cancels) / 2 * 5 / 3 (x+8 cancels)
you are left with
2*5/3 
10/3
or 3 1/3

Factor the expression. 21x2 + 55x + 14

Answers

(7x+2)(3x+7)

Is the 2 an exponent or variable?

Answer:

(3x + 7)(7x + 2)

Step-by-step explanation:

Find the percent change. Tell whether it is a percent increase or decrease. from 50 to 42

Answers

The answer would be percent decrease because if it started at 50 and turned to 40, it lowered since we know 50 is higher than 42 so it dropped by 8 since 8 divided by 50 0.16 and 0.16 times 100 EQUALS 16%
percent change = (new value - old value)/(old value) * 100

If the percent change is positive, it is an increase.
If the percent change is negative, it is a decrease.

percent change = (42 - 50)/(50) * 100 = -8/50 * 100 = -16%

It is a 16% decrease.

(c)100 pts Mrs. Carothers looked at another hotel. She waited a week before she decided to book nights at that hotel, and now the prices have increased. The original price was $1195. The price for the same room and same number of nights is now $2075. What is the percent increase? Round to the nearest whole percent. Explain and Show your work.

Answers

2075 - 1195 = 880
880 / 1195 * 100
= 73.64
= 74% (Round to the nearest whole percent)

it's increased 74%
2075-1195=880
(880/1195)×100=73.64%

A fireworks company has two types of rockets called Zinger 1 and Zinger 2. The polynomial -16t2 + 150t gives the height in feet of Zinger 1 at t seconds after launch. The polynomial -16t2 + 165t gives the height of Zinger 2 at t seconds after launch. If the rockets are launched at the same time and both explode 6 seconds after launch, how much higher is Zinger 2 than Zinger 1 when they explode?

Answers

Substitute the value t = 6 into both equations in turn

f(Z₁) = -16t² + 150t
f(6) = -16(6)² + 150(6)
f(6) = -16(36) + 900
f(6) = 324 feet

f(Z₂) = -16t² + 165t
f(6) = -16(6)² + 165(6)
f(6) = 414 feet

The height of Zinger 2 minus the height of Zinger 1 = 414 - 324 = 90 feet

Answer: Zinger 2 is 90 feet higher than Zinger 1

The graph shows the value of a car at different years after Joanna purchased it.

Which answer is the best estimate for the average rate of change between Year 9 and Year 14?



−$75/year
−$130/year
−$250/year
−$325/year

Answers

Answer:

the answer is 130 year.

Step-by-step explanation:


Answer:

I can verify that this answer is correct!

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