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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

Respuesta :

wegnerkolmp2741o

Answer:

-2 + i

------------

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

-----------

50

Divide by 10

-2 + i

------------

5

mhanifa

Answer:

  • (-2 + i) / 5

Step-by-step explanation:

  • (-3 + i)/(7 + i)=
  • (-3 + i)(7 - i) / (7 + i)(7 - i)=
  • (-21 + 3i + 7i - i²) / (49 - i²)=
  • (-21 + 1 + 10i) / (49 + 1) =
  • (- 20 + 10i) / 50 =
  • (-2 + i) / 5

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

The product in the numerator is

  • - 2 + i

The product in the denominator is

  • 5

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