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antiseptic1488 [7]

3 years ago

7

Simplify (9 + 7i)/(-10 + 8i)

1 answer:

Vera_Pavlovna [14]3 years ago

3 0

Multiply numerator and denominator by the conjugate of the denominator

Denominator: -10 + 8i
Conjugate of the denominator: -10 - 8i

Operation:

[9 +7i] / [-10 + 8i] * [-10 -8i] / [-10 - 8i] = [-90 - 72i - 70i +56] / [100 + 64] =

[-34 -142i] / 164 = [-17 -71i] / 82

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