What is (3+4i)/(7-i) ?

The solution to (3+4i)/(7-i) is 17/50+31/50 i

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simplify (3+4i)/(7-i)

simplify

\frac{3 + 4 i}{7 - i}

\frac{17}{50} + \frac{31}{50} i

Solution steps

\frac{3 + 4 i}{7 - i}

Multiply by the conjugate

\frac{7 + i}{7 + i}

= \frac{( 3 + 4 i ) ( 7 + i )}{( 7 - i ) ( 7 + i )}

Simplify

\frac{( 3 + 4 i ) ( 7 + i )}{( 7 - i ) ( 7 + i )} : \frac{17 + 31 i}{50}

= \frac{17 + 31 i}{50}

Rewrite in standard complex form:

\frac{17}{50} + \frac{31}{50} i

= \frac{17}{50} + \frac{31}{50} i

(\frac{15}{6}) - (\frac{9}{7})

a^{5} - 8 a^{3} + 16 a^{2}

\frac{4 - 6}{2}

16 \cdot 16

(9)^{- 2}