Question

Solve the given quadratic equation:
x² + 4ix - 4 = 0

Answer 1

To solve this equation, let us apply Quadratic formula

${x}^{2} +4ix -4= 0 \\ \\ a = 1\\ \\ b = 4i \\ \\ c =-4\\ \\ x_{1,2} = \frac{ - b ± \sqrt{ {b}^{2} - 4ac} }{2a} \\ \\ x_{1,2} = \frac{ -4i ± \sqrt{ {(-4i)}^{2} - 4(1)(-4)} }{2 \times 1} \\ \\ x_{1,2} = \frac{ -4i ± \sqrt{-16 +16} }{2} \\ \\ x_{1,2} = \frac{ -4i±\sqrt{ 0} }{2} \\ \\ \\ x_{1,2} = \frac{ -4i}{2} \\ \\ x_{1} =-2i\\ \\x_{2} =-2i$
Hope it helps you.