Question

Which of the following is a solution of x2 + 8x = −32?

Answer 1

Answer:

-4±4i is the solution of x²+8x  = -32.

Step-by-step explanation:

We have given a quadratic equation.

x²+8x  = -32

x²+8x+32  = 0

We have to find the value of x.

We use quadratic formula to solve above equation.

ax²+bx+c  = 0 is general quadratic equation.

Comparing given equation to general quadratic equation, we have

a  = 1 , b  = 8 and c  = 32

x  = (-b±√b²-4ac ) / 2a is quadratic formula to solve equation.

putting given values in above formula, we have

x  = (-8±√(8)²-4(1)(32) ) / 2(1)

x  = (-8±√64-128) / 2

x  = (-8±√-64) / 2

x  = (-8±8i) / 2

x  = 2(-4±4i) / 2

x  = -4±4i is the solution of x²+8x  = -32.