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Popular >

simplify (2i)/(3-4i)

Solution

simplify

\frac{2 i}{3 - 4 i}

Solution

- \frac{8}{25} + \frac{6}{25} i

Solution steps

\frac{2 i}{3 - 4 i}

Multiply by the conjugate

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

= \frac{2 i ( 3 + 4 i )}{( 3 - 4 i ) ( 3 + 4 i )}

Simplify

\frac{2 i ( 3 + 4 i )}{( 3 - 4 i ) ( 3 + 4 i )} : \frac{6 i - 8}{25}

= \frac{6 i - 8}{25}

Rewrite in standard complex form:

- \frac{8}{25} + \frac{6}{25} i

= - \frac{8}{25} + \frac{6}{25} i

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Frequently Asked Questions (FAQ)

What is (2i)/(3-4i) ?
The solution to (2i)/(3-4i) is -8/25+6/25 i