What is (3-5i)/(7+2i) ?

The solution to (3-5i)/(7+2i) is 11/53-41/53 i

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simplify (3-5i)/(7+2i)

simplify

\frac{3 - 5 i}{7 + 2 i}

\frac{11}{53} - \frac{41}{53} i

Solution steps

\frac{3 - 5 i}{7 + 2 i}

Multiply by the conjugate

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

= \frac{( 3 - 5 i ) ( 7 - 2 i )}{( 7 + 2 i ) ( 7 - 2 i )}

Simplify

\frac{( 3 - 5 i ) ( 7 - 2 i )}{( 7 + 2 i ) ( 7 - 2 i )} : \frac{11 - 41 i}{53}

= \frac{11 - 41 i}{53}

Rewrite in standard complex form:

\frac{11}{53} - \frac{41}{53} i

= \frac{11}{53} - \frac{41}{53} i

\frac{245 m ^{3} n}{320 m ^{3} n ^{5}}

\frac{100}{1} = \frac{x}{\frac{3}{2}} \cdot 5466313

\frac{14}{7 ^{\frac{2}{3}}}

7 x^{2} - 6 x + 2 = 0

3 (x - 6) = 4 - 2 (x + 2)