Knowing that 2i is one answer to the equation x^4 - 2x^3 + 6x^2 - 8x + m = 0, find the 'm' and the other possible answers.

Answers

Answer 1
Answer: ok so remember
if a+bi is a root, then a-bi is also a root

since 2i is a root, -2i is also a root
use synthetic division and the fact that when we divide by 2i and -2i, we have to get all real coeficients and end witha zero at the end
I will show the division in the attachment

we find m=8


we then find th resulting equation that is x^2-2x+2=0
quadratic formula
x=\frac{-b+/- \sqrt{b^(2)-4ac} }{2a}
x=1+i or 1-i







m=8 and the other roots are
x=-2i, 1+i, 1-i



Related Questions

On a coordinate graph, which of the following is TRUE of Quadrant 3? is it A. The x and y values are both positive. B. The x values are positive and the y values are negative. C. The y values are positive and the x values are negative. D. The x and y values are both negative.
How does the speed change on the Graph? And what does a steeper line mean?
Find the mode of the data set: 37, 42, 39, 44, 47, 38, 42, 45, 49, 35
Factor the trinomial in to 2 sets of parentheses 12a squared minus 13a minus 35
What is the fraction ten twelthes in its simplest form

De un numero se sabe que si a su cuadrado le restamos su mitad, se obtiene el mismo numero, Cuál es?

Answers

Answer:

2

Step-by-step explanation:

el 2 al cuadrado es 4 si le restas su mitad(2) tu resultado seria 2

Answer: 2

Step-by-step explanation : el 2 al cuadrado es 4 si le restas su mitad(2) tu resultado seria 2    Espero que ayude Ten un día maravilloso :)

The first-serve percentage of a tennis player in a match is normally distributed with a standard deviation of 4.3%. If a sample of 15 random matches of the player is taken, the mean first-serve percentage is found to be 26.4%. What is the margin of error of the sample mean?

Answers

The first-serve percentage of a tennis player in a match is normally distributed with a standard deviation of 4.3%. If a sample of 15 random matches of the player is taken, the mean first-serve percentage is found to be 26.4%. The margin of error of the sample mean is 83.71%.

Answer:

See image

Step-by-step explanation:

Plato

10. need help with this question-percentages and proof

Answers

Answer:

the value increased by0.0388

Step-by-step explanation

4% - 3% equals 0.0388 becuase its the diffrence between them is 0.0388

What is the length of the line segment that is graphed from (3, 1) to (8, 1)?A.
4 units

B.
5 units

C.
8 units

D.
9 units

Answers

Hello,

all you have to do is to calculate the distance betheen the 2 points (pythagorean theorem)

d²=(3-8)²+(1-1)²=25+0=25

d=5

The distance between -32 and
13

Answers

Answer:   To find the distance between -32 and 13, we need to calculate the absolute difference between the two numbers.

The absolute difference is the positive value of the subtraction of one number from another. In this case, we subtract -32 from 13.

13 - (-32) = 13 + 32 = 45.

Therefore, the distance between -32 and 13 is 45 units.

Write an equation of a line that has the same slope as 2x – 5y = 12 and the same y-intercept as 4y + 24 = 5x.y = 1/6x - 5/2
y = 2/5x - 6
y = 6x - 2/5
y = 5/2x - 6

Answers

in ax+by=c form
slope=-a/b

y intercept is when x=0


sloope of 2x-5y=12 is -2/-5=2/5

y intercept of 4y+24=5x
4y+24=5(0)
4y+24=0
4y=-24
y=-6
y int=-6

y=mx+b
m=slope
b=y intercept
y=2/5x-6

answer is 2nd optoin