Question

Write the given quotient in the form a+bi.

(4-5i)/7+3i

Simplify your answer

Answer 1

Multiply both numerator and denominator by the conjugate of (7+3i) which is (7-3i)

Answer 2

\[(\frac{ 4-5i }{ 7+3i })(\frac{ 7-3i }{ 7-3i })\]

Answer 3

15i^2-47i+28/-9i^2+49

Answer 4

\[\frac{ 28 - 12i - 35i + 15i ^{2} }{ 7^{2} - (3i)^{2} }\]

Answer 5

15i^2-47i+28/49-3i^2

Answer 6

\[\frac{ 28 - 12i - 35i + 15i ^{2} }{ 7^{2} - (3i)^{2} }\]

Answer 7

This is the next step...Please combine the like terms from the numerator... also simplify the denominator as well...
Do you know the value of i^2?

Answer 8

28-47i+15i^2/49-3i^2
i^2= -1

28-47i+15(-1)/49-3(-1)
28-47i-15/52
13-47i/52