Question

WILL GIVE BRAINLIEST AND 30 POINTS! Simplify −3 +i over 7 + i . First, multiply both the numerator and denominator by A. -3 + i B. -3 -i C. 7 + i D. 7-1 Hint: C is incorrect.

Answer 1

Answer:

Step-by-step explanation:

What you are trying to do in this question is get rid of the i in the denominator. To do that you must multiply top and bottom by the conjugate of 7 + i

The conjugate is 7 - i

D if correct if you just made a typo. Otherwise there is no answer.

( - 3 + i ) * (7 - i)

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(7 + i ) ( 7 - i)

( - 3 + i ) * (7 - i)

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49 - i^2

( - 3 + i ) * (7 - i)

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49 + 1

( - 3 + i ) * (7 - i)

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50

I'll let you work out the numerator. If you get (-2 + i)/5 you are correct.

Answer 2

You have (-3 +i)/(7 + i) so you need to remove the i from the numerator, so you have to multiply by 7-i and you get

(-22 + 4i)/50 which can be simplified to

(-11 + 2i)/25