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