Question

Find the quotient of the complex numbers. If necessary, use the slash bar ( / ) to enter a fraction. (1 - 7i )/(6 - 2i )

Answer 1

help

Answer 2

Hmm, so we have something like \(\large \frac{z_1}{z_2}\), now multiply both the numerator the denominator by the conjugate of \(z_2\)

Answer 3

the answer ?

Answer 4

multiply numerator and denominator by the conjugate of the denoninator
the conjugate of \(a+bi\) is \(a-bi\) and this works because \()a+bi)(a-bi)=a^2+b^2\) a real number

Answer 5

is the answer .5-i ?

Answer 6

denominator will be \(6^2+2^2=40\) numerator will be whatever you get when you multiply
\[(1-7i)(6+2i)\]

Answer 7

Yeah, that is correct! Right-o @TramorrisM

Answer 8

thanks ! (=