Question

Express the following in the form of a = ib, a,b$ϵ$R $i=\sqrt{-1}$. State the values of a and b.

$\frac{i(4+3i)}{(1-i)}$

Answer 1

$\frac{i(4+3i)}{(1-i)}$

$\frac{(-3+4i)(1-i)}{2}\frac{-3+4i+3i+4}{2}\frac{1+7i}{2}a=\frac{1}{2},b=\frac{7}{2}$