Answer:
b.x = -4/3+4/3i , -4/3-4/3i
Explanation:
We have given a quadratic equation.
9x²+24x+32 = 0
We have to find the solution of given equation by using the quadratic formula.
From given equation,
a = 9,b = 24 and c = 32
x = (-b±√b²-4ac) / 2a is quadratic formula to solve equation.
Putting values in above formula, we have
x = (-24±√(24)²-4(9)(32) ) / 2(9)
x = (-24±√576-1152) / 18
x = (-24±√-576) / 18
x = -24 ± 24i / 18
x = 6(-4±4i) / 18
x = -4±4i / 3
x = -4/3+4/3i , -4/3-4/3i which is the solution.