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3 years ago

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

Mathematics

1 answer:

iren2701 [21]3 years ago

3 0

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.

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