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

The solution to (3+7i)/(5-3i) is -3/17+22/17 i

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

simplify

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

- \frac{3}{17} + \frac{22}{17} i

Solution steps

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

Multiply by the conjugate

\frac{5 + 3 i}{5 + 3 i}

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

Simplify

\frac{( 3 + 7 i ) ( 5 + 3 i )}{( 5 - 3 i ) ( 5 + 3 i )} : \frac{- 6 + 44 i}{34}

= \frac{- 6 + 44 i}{34}

Apply the fraction rule:

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

= \frac{- 6}{34} + \frac{44}{34} i

Simplify

\frac{- 6}{34} + \frac{44}{34} i : - \frac{3}{17} + \frac{22}{17} i

= - \frac{3}{17} + \frac{22}{17} i

(1 + 0.05)^{4}

(x + 2) + 2

(1)^{2} + (1)^{2}

4 (0.5)^{3} - 4 (0.5)

(x - 6)^{3}