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

Question

anonymous · Answer

help

apoorvk · Answer

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

anonymous · Answer

the answer ?

anonymous · Answer

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

anonymous · Answer

is the answer .5-i   ?

anonymous · Answer

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

apoorvk · Answer

Yeah, that is correct! Right-o @TramorrisM

anonymous · Answer

thanks ! (=