Find the square roots of the complex number $15-8\mathbf{i}$.
Hence, solve the quadratic equation $2{{z}^{2}}+\mathbf{i}z-2+\mathbf{i}=0$.

Question

Find the square roots of the complex number $15-8\mathbf{i}$. Hence, solve the quadratic equation $2{{z}^{2}}+\mathbf{i}z-2+\mathbf{i}=0$.

Accepted Answer

$z=	ext{ }4-\mathbf{i}$ or $-4+\mathbf{i}$; $z=-1$ or $1-\frac{1}{2}\mathbf{i}$

Complex Numbers - Finding Square Roots of Complex Numbers Algebraically