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Popular >

simplify (5i)/(3-i)

Solution

simplify

\frac{5 i}{3 - i}

Solution

- \frac{1}{2} + \frac{3}{2} i

Solution steps

\frac{5 i}{3 - i}

Multiply by the conjugate

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

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

Simplify

\frac{5 i ( 3 + i )}{( 3 - i ) ( 3 + i )} : \frac{15 i - 5}{10}

= \frac{15 i - 5}{10}

Rewrite in standard complex form:

- \frac{1}{2} + \frac{3}{2} i

= - \frac{1}{2} + \frac{3}{2} i

Popular Examples

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10 s^{2} + 101 s + 10

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

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(x + 5) (x + 4) (x - 1)

3/10 \div (-1)/3

\frac{3}{10} \div \frac{- 1}{3}

Frequently Asked Questions (FAQ)

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