Question

Find the quotient of these complex numbers.

(5-71) - (2-5) =
O A. 2 / - /
5 7
+
2 5
C.
45 11
+
29 29
1
25 11
+
29 29

Answer 1

9514 1404 393

Answer:

C. (45+11i)/29

Explanation:

Multiply numerator and denominator by the conjugate of the denominator.

`(5-7i)/(2-5i)=((5-7i)(2+5i))/((2-5i)(2+5i))=((5)(2)+(-7i)(5i) +(5)(5i)+(-7i)(2))/(2^2+5^2)\\\\=((10+35)+(24-14)i)/(29)=\boxed{(45)/(29)+(11)/(29)i}`