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grandymaker [24]
2 years ago
10

Find the quotient of these complex numbers.

Mathematics
1 answer:
stich3 [128]2 years ago
8 0

9514 1404 393

Answer:

  C.  (45+11i)/29

Step-by-step explanation:

Multiply numerator and denominator by the conjugate of the denominator.

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

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