Divide and express the result in standard form. 5/3-i

Question

5 over 3-i as a fraction

Answer 1

Multiply the numerator and denominator by the conjugate, 3 + i, of the denominator:

5 / (3 - i) = [5(3 + i)] / [(3 - i)(3 + i)] = (15 + 5i) / (9 - i²) = (15 + 5i) / 10 = (15/10) + (5/10)i = (3/2) + (1/2)i