Question

Which two values of x are roots of the polynomial below?x2 + 5x + 9I A. x =-5+7-112B. =15-$172O C. X =5 + √172I D. X =-5 - 6

Answer 1

Given:

`x^2+5x+9`

To solve this equation, we will be needing to use the quadratic formula:

`x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}`

From the given equation, we know that:

a = 1

b = 5

c = 9

Substitute the given data to the quadratic equation

`x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}`
`=\frac{-5\pm\sqrt[]{(5)^2-4(1)(9)}}{2(1)}`
`=\frac{-5\pm\sqrt[]{25^{}-36}}{2}`
`=\frac{-5\pm\sqrt[]{-11}}{2}`

Separate the plus minus sign

`x=\frac{-5+\sqrt[]{-11}}{2}`
`x=\frac{-5-\sqrt[]{-11}}{2}`

Therefore, the final answer would be A and F.