(a) If \(x - iy = \frac{5-6i}{5+6i}\) then prove that \(x^2… – bitm Basic Mathematics 2025 Solved

bitm Basic Mathematics · 2025 · Solved Question with Answer

(a) If \(x - iy = \frac{5-6i}{5+6i}\) then prove that \(x^2 + y^2 = 1\).

(b) Find the square roots of \(-4 + 4\sqrt{3}i\).

Solution

(a) If \(x - iy = \frac{5-6i}{5+6i}\) then prove that \(x^2 + y^2 = 1\) . (b) Find the square roots of \(-4 + 4\sqrt{3}i\) .