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

The solution to (5-2i)/(3+i) is 13/10-11/10 i

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

simplify

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

\frac{13}{10} - \frac{11}{10} i

Solution steps

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

Multiply by the conjugate

\frac{3 - i}{3 - i}

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

Simplify

\frac{( 5 - 2 i ) ( 3 - i )}{( 3 + i ) ( 3 - i )} : \frac{13 - 11 i}{10}

= \frac{13 - 11 i}{10}

Rewrite in standard complex form:

\frac{13}{10} - \frac{11}{10} i

= \frac{13}{10} - \frac{11}{10} i

(2 x + 9 y)^{2}

(4 x - 2) + (- 3 x + 1)

\frac{( 2 y ^{2} ) ^{4}}{- 10 y ^{- 1}}

(2^{- 1})^{3}

(7 m - 3 n) (7 m - 3 n)