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14-11-2018
Mathematics

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Simplify 3 over quantity of 5 minus 6 i . (1 point)

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OmegaAzzy OmegaAzzy

14-11-2018

3/(5 - 6i)

To simplify this, we need to multiply both sides by the conjugate of the denominator, which is 5 + 6i

3(5 + 6i)

Distributive property.

15 + 18i

(5 - 6i)(5 + 6i)

25 + 30i - 30i - 36i^2

25 - 36i^2

i^2 = -1

25 + 36

61

The simplified expression is (15/61) + (18i/61).

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