If $\frac{a}{1+\mathbf{i}}-\frac{b}{2-\mathbf{i}}=5\mathbf{i}$, where $a$ and $b$ ar

Question

If $\frac{a}{1+\mathbf{i}}-\frac{b}{2-\mathbf{i}}=5\mathbf{i}$, where $a$ and $b$ are real, find the values of$a$ and $b$.

Accepted Answer

$a=-\frac{20}{3}$, $b=-\frac{25}{3}$

Complex Numbers