What is (2+7i)/(3-i) ?

The solution to (2+7i)/(3-i) is -1/10+23/10 i

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simplify (2+7i)/(3-i)

simplify

\frac{2 + 7 i}{3 - i}

- \frac{1}{10} + \frac{23}{10} i

Solution steps

\frac{2 + 7 i}{3 - i}

Multiply by the conjugate

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

= \frac{( 2 + 7 i ) ( 3 + i )}{( 3 - i ) ( 3 + i )}

Simplify

\frac{( 2 + 7 i ) ( 3 + i )}{( 3 - i ) ( 3 + i )} : \frac{- 1 + 23 i}{10}

= \frac{- 1 + 23 i}{10}

Rewrite in standard complex form:

- \frac{1}{10} + \frac{23}{10} i

= - \frac{1}{10} + \frac{23}{10} i

\frac{1}{4} + \frac{1}{9}

(2 x - 5) (3 x - 8)

\frac{8}{x} - \frac{2}{x}

\frac{7}{8} \div \frac{1}{2}

\frac{8 x ^{4} y ^{3}}{x ^{7} y ^{4}}