​ 1. Express the complex number (3 - √16) /(1-√-9) in the form a + ib. ​

Question

1. Express the complex number \(\frac{3-\sqrt{16}}{1-{\sqrt{19}}}\) in the form a + ib.

2. Represent the complex number \(\frac{5+\sqrt{3}}{-4 + 2\sqrt{3i}}\) in the polar form. 

3. Solve the equation ix² – x + 12i = 0.

Answer 1

1.

2.

The complex number lies in the third quadrant;

3. ix² – x + 12i = 0