+0

# Complex Numbers

0
58
1

Express (30 + 19i)/(2 + 5i) in the form a + bi, where a and b are real numbers.

Jan 31, 2022

$$\frac{30 + 19i}{2+5i} = \frac{30 + 19i}{2+5i} \cdot \frac{2-5i}{2-5i} = \frac{60+38i-150i+95}{4+25} = \boxed{\frac{155}{29} - \frac{112i}{29}}$$