What is (2-8i)/(3+5i) ?

The solution to (2-8i)/(3+5i) is -1-i

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simplify (2-8i)/(3+5i)

simplify

\frac{2 - 8 i}{3 + 5 i}

- 1 - i

Solution steps

\frac{2 - 8 i}{3 + 5 i}

Multiply by the conjugate

\frac{3 - 5 i}{3 - 5 i}

= \frac{( 2 - 8 i ) ( 3 - 5 i )}{( 3 + 5 i ) ( 3 - 5 i )}

Simplify

\frac{( 2 - 8 i ) ( 3 - 5 i )}{( 3 + 5 i ) ( 3 - 5 i )} : \frac{- 34 - 34 i}{34}

= \frac{- 34 - 34 i}{34}

Apply the fraction rule:

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

= \frac{- 34}{34} + \frac{- 34}{34} i

Simplify

\frac{- 34}{34} + \frac{- 34}{34} i : - 1 - i

= - 1 - i

9 w^{2} + 48 w + 64

3 p^{2} - 36 = 3 p

1 x^{2} - 11 x + 15 = 0

416

36 x^{2} - 96 x + 64