What is (7-8i)/(7+i) ?

The solution to (7-8i)/(7+i) is 41/50-63/50 i

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simplify (7-8i)/(7+i)

simplify

\frac{7 - 8 i}{7 + i}

\frac{41}{50} - \frac{63}{50} i

Solution steps

\frac{7 - 8 i}{7 + i}

Multiply by the conjugate

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

= \frac{( 7 - 8 i ) ( 7 - i )}{( 7 + i ) ( 7 - i )}

Simplify

\frac{( 7 - 8 i ) ( 7 - i )}{( 7 + i ) ( 7 - i )} : \frac{41 - 63 i}{50}

= \frac{41 - 63 i}{50}

Rewrite in standard complex form:

\frac{41}{50} - \frac{63}{50} i

= \frac{41}{50} - \frac{63}{50} i

8 x^{2} + 5 x - 3

(x - 3)^{8}

4 \times (- x)

\frac{3}{4 2}

\frac{8 x y ^{8}}{4 x ^{6} y ^{7}}