What is ((79+7i))/((6-7i)) ?

The solution to ((79+7i))/((6-7i)) is 5+7i

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simplify ((79+7i))/((6-7i))

simplify

\frac{( 79 + 7 i )}{( 6 - 7 i )}

5 + 7 i

Solution steps

\frac{79 + 7 i}{6 - 7 i}

Multiply by the conjugate

\frac{6 + 7 i}{6 + 7 i}

= \frac{( 79 + 7 i ) ( 6 + 7 i )}{( 6 - 7 i ) ( 6 + 7 i )}

Simplify

\frac{( 79 + 7 i ) ( 6 + 7 i )}{( 6 - 7 i ) ( 6 + 7 i )} : \frac{425 + 595 i}{85}

= \frac{425 + 595 i}{85}

Apply the fraction rule:

\frac{a + bi}{c} = \frac{a}{c} + \frac{b}{c} i

= \frac{425}{85} + \frac{595}{85} i

Simplify

\frac{425}{85} + \frac{595}{85} i : 5 + 7 i

= 5 + 7 i

x^{2} - 2 > 0

- \frac{6}{- 1} - 2

16 x^{2} - 24 x + 9

8 x^{2} + 24 x + 18

\frac{1}{2} (3 n - 5) = - \frac{13}{10} (- 2 n - 4)