What is (3-55i)/(5+7i) ?

The solution to (3-55i)/(5+7i) is -5-4i

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simplify (3-55i)/(5+7i)

simplify

\frac{3 - 55 i}{5 + 7 i}

- 5 - 4 i

Solution steps

\frac{3 - 55 i}{5 + 7 i}

Multiply by the conjugate

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

= \frac{( 3 - 55 i ) ( 5 - 7 i )}{( 5 + 7 i ) ( 5 - 7 i )}

Simplify

\frac{( 3 - 55 i ) ( 5 - 7 i )}{( 5 + 7 i ) ( 5 - 7 i )} : \frac{- 370 - 296 i}{74}

= \frac{- 370 - 296 i}{74}

Apply the fraction rule:

\frac{a + bi}{c} = \frac{a}{c} + \frac{b}{c} i

= \frac{- 370}{74} + \frac{- 296}{74} i

Simplify

\frac{- 370}{74} + \frac{- 296}{74} i : - 5 - 4 i

= - 5 - 4 i

- 12 + 2 t = - 14

225

7 x^{2} - 44 x - 35

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x^{2} + 20 x + 16 = 0