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Popular >

simplify (7-5i)/(5+7i)

Solution

simplify

\frac{7 - 5 i}{5 + 7 i}

Solution

- i

Solution steps

\frac{7 - 5 i}{5 + 7 i}

Multiply by the conjugate

\frac{5 - 7 i}{5 - 7 i}

= \frac{( 7 - 5 i ) ( 5 - 7 i )}{( 5 + 7 i ) ( 5 - 7 i )}

Simplify

\frac{( 7 - 5 i ) ( 5 - 7 i )}{( 5 + 7 i ) ( 5 - 7 i )} : \frac{- 74 i}{74}

= \frac{- 74 i}{74}

Cancel the common factor:

74

= - i

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simplify-1-0 simplify

- 1 - 0

0=(2.5+y)(1.8-y)

0 = (2.5 + y) (1.8 - y)

Frequently Asked Questions (FAQ)

What is (7-5i)/(5+7i) ?
The solution to (7-5i)/(5+7i) is -i