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# complex numbers

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Express (30 + 19i)/(4 + 5i) in the form a + bi, where a and b are real numbers.

Oct 9, 2020

#1
+10840
+1

Express (30 + 19i)/(4 + 5i) in the form a + bi, where a and b are real numbers.

Hello Guest!

$$\frac{30+19i}{4+5i}\cdot \frac{4-5i}{4-5i}\\ =\frac{120-150i+76i+95}{16+25}\\ =\frac{215-74i}{41}\\ \color{blue}=5.244-1.8i$$

!

Oct 9, 2020