taiwan-gsat 2025 Q10

taiwan-gsat · Other · ast__math-b 6 marks Complex Numbers Arithmetic Complex Division/Multiplication Simplification
Let $i = \sqrt { - 1 }$. Given that the complex number $\frac { 1 - 7 i } { - 1 + i } = a + b i$, where $a, b$ are real numbers. Then $a =$ (10–1)(10–2), $b =$ (10–3).
Let $i = \sqrt { - 1 }$. Given that the complex number $\frac { 1 - 7 i } { - 1 + i } = a + b i$, where $a, b$ are real numbers.\\
Then $a =$ (10–1)(10–2), $b =$ (10–3).