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

9 z^{2} - 24 z + 16

\frac{2 - 5}{1 + 5}

\frac{x ^{2}}{x ^{2}} \cdot \frac{z ^{2}}{y ^{- 2}}

k^{2} - 2 k - 8 = 0

\frac{3 x ^{5} y}{12 x ^{3} y ^{2}}