What is (2+5i)/(3-i) ?

The solution to (2+5i)/(3-i) is 1/10+17/10 i

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simplify (2+5i)/(3-i)

simplify

\frac{2 + 5 i}{3 - i}

\frac{1}{10} + \frac{17}{10} i

Solution steps

\frac{2 + 5 i}{3 - i}

Multiply by the conjugate

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

= \frac{( 2 + 5 i ) ( 3 + i )}{( 3 - i ) ( 3 + i )}

Simplify

\frac{( 2 + 5 i ) ( 3 + i )}{( 3 - i ) ( 3 + i )} : \frac{1 + 17 i}{10}

= \frac{1 + 17 i}{10}

Rewrite in standard complex form:

\frac{1}{10} + \frac{17}{10} i

= \frac{1}{10} + \frac{17}{10} i

\frac{6}{4} - \frac{2}{4}

\frac{4}{4 + i}

144 x^{2} - 169 y^{2}

75 + 15 x \geq 140

- 5 z^{3} + 320