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Popular >

simplify (5i)/(6-2i)

Solution

simplify

\frac{5 i}{6 - 2 i}

Solution

- \frac{1}{4} + \frac{3}{4} i

Solution steps

\frac{5 i}{6 - 2 i}

Multiply by the conjugate

\frac{6 + 2 i}{6 + 2 i}

= \frac{5 i ( 6 + 2 i )}{( 6 - 2 i ) ( 6 + 2 i )}

Simplify

\frac{5 i ( 6 + 2 i )}{( 6 - 2 i ) ( 6 + 2 i )} : \frac{30 i - 10}{40}

= \frac{30 i - 10}{40}

Rewrite in standard complex form:

- \frac{1}{4} + \frac{3}{4} i

= - \frac{1}{4} + \frac{3}{4} i

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Frequently Asked Questions (FAQ)

What is (5i)/(6-2i) ?
The solution to (5i)/(6-2i) is -1/4+3/4 i