Question

WILL GIVE BRAINLIEST AND 30 POINTS! Simplify −3 + i 7 + i . First, multiply both the numerator and denominator by . The product in the numerator is + i. The product in the denominator is

Answer 1

Answer:

-2 + i

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5

Step-by-step explanation:

(-3+i)/ (7+i)

Multiply by the complex conjugate

(-3+i)/ (7+i)  * (7-i)/(7-i)

Numerator

(-3+i)(7-i) = -21 +7i +3i -i^2 = -21 +10 i - (-1) = -21 +10i +1 =-20+10i

Denominator

(7+i)(7-i) = 49 +7i-7i - i^2 = 49 - (-1) = 49+1=50

Numerator over denominator

-20 + 10i

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50

Divide by 10

-2 + i

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5

Answer 2

Answer:

see below

Step-by-step explanation:

• (3 + i)/(7 + i)= (3+i)(7-i)/(7+i)(7-i)= (21+1+4i)/(49+1)= (22+4i)/50= (11+2i)/25

First, multiply both the numerator and denominator by =  7 - i

The product in the numerator is = 11 + 2i

The product in the denominator is = 25