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Popular >

simplify (10)/(3-4i)

Solution

simplify

\frac{10}{3 - 4 i}

Solution

\frac{6}{5} + \frac{8}{5} i

Solution steps

\frac{10}{3 - 4 i}

Multiply by the conjugate

\frac{3 + 4 i}{3 + 4 i}

= \frac{10 ( 3 + 4 i )}{( 3 - 4 i ) ( 3 + 4 i )}

Simplify

\frac{10 ( 3 + 4 i )}{( 3 - 4 i ) ( 3 + 4 i )} : \frac{30 + 40 i}{25}

= \frac{30 + 40 i}{25}

Apply the fraction rule:

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

= \frac{30}{25} + \frac{40}{25} i

Simplify

\frac{30}{25} + \frac{40}{25} i : \frac{6}{5} + \frac{8}{5} i

= \frac{6}{5} + \frac{8}{5} i

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Frequently Asked Questions (FAQ)

What is (10)/(3-4i) ?
The solution to (10)/(3-4i) is 6/5+8/5 i