Question

What are the solutions for the given equation?

x2+4x+16=0


x=−2±4i3‾√


x=−2±23‾√


x=−2±2i3‾√


x=−2±43‾√

Answer 1

x^2 + 4 x + 16 = 0

This does not easily factor so

x = (-4 ± √(16 - 64)) / 2 quadratic equation

x = (-4 ± (-48)^1/2) / 2

x = -2 ± (-12)^2 i

x = -2 ± 2√3 i