Question

express (1-3j)/(3+4j) in the form a+jb where j is equal to the square root of -1

Answer 1

$$-\frac{9}{25}-\frac{13}{25}i$$

Answer 2

how does one do this though?

Answer 3

If the denominator is of the form (a+bi), then multiply the top and bottom by (a-bi)

Answer 4

Basically $$\frac{c+di}{a+bi}=\frac{(ac+bd)}{a^2+b^2}+\frac{(ad-bc)i}{a^2+b^2}$$

Answer 5

For any c,d,a,b Just substitute your sht into there

Answer 6

amazing thank you infinitely lad

Answer 7

Here if you just want to get it done, type your equation into http://www.wolframalpha.com/

Answer 8

Scroll down a couple lines