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Popular >

simplify (9i)/(3-i)

Solution

simplify

\frac{9 i}{3 - i}

Solution

- \frac{9}{10} + \frac{27}{10} i

Solution steps

\frac{9 i}{3 - i}

Multiply by the conjugate

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

= \frac{9 i ( 3 + i )}{( 3 - i ) ( 3 + i )}

Simplify

\frac{9 i ( 3 + i )}{( 3 - i ) ( 3 + i )} : \frac{27 i - 9}{10}

= \frac{27 i - 9}{10}

Rewrite in standard complex form:

- \frac{9}{10} + \frac{27}{10} i

= - \frac{9}{10} + \frac{27}{10} i

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Frequently Asked Questions (FAQ)

What is (9i)/(3-i) ?
The solution to (9i)/(3-i) is -9/10+27/10 i