Answer:
(-35/37) +(12/37)i
Step-by-step explanation:
You want the standard form of the ratio (-7-5i)/(5+7i).
Real denominator
The denominator can be made a real number by multiplying the numerator and denominator by the conjugate of the denominator:
[tex]=\dfrac{(-7-5i)(5-7i)}{(5+7i)(5-7i)}=\dfrac{-35+49i-25i-35}{25-35i+35i+49}=\dfrac{-70+24i}{74}\\\\=\boxed{-\dfrac{35}{37}+\dfrac{12}{37}i}[/tex]
