treymattison111103 treymattison111103
  • 10-07-2021
  • Mathematics
contestada

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

Find the quotient of these complex numbers 571 25 O A 2 5 7 2 5 C 45 11 29 29 1 25 11 29 29 class=

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 18-07-2021

9514 1404 393

Answer:

  C.  (45+11i)/29

Step-by-step explanation:

Multiply numerator and denominator by the conjugate of the denominator.

  [tex]\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}[/tex]

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