What is (-7-7i)/(1+9i) ?

The solution to (-7-7i)/(1+9i) is -35/41+28/41 i

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simplify (-7-7i)/(1+9i)

simplify

\frac{- 7 - 7 i}{1 + 9 i}

- \frac{35}{41} + \frac{28}{41} i

Solution steps

\frac{- 7 - 7 i}{1 + 9 i}

Multiply by the conjugate

\frac{1 - 9 i}{1 - 9 i}

= \frac{( - 7 - 7 i ) ( 1 - 9 i )}{( 1 + 9 i ) ( 1 - 9 i )}

Simplify

\frac{( - 7 - 7 i ) ( 1 - 9 i )}{( 1 + 9 i ) ( 1 - 9 i )} : \frac{- 70 + 56 i}{82}

= \frac{- 70 + 56 i}{82}

Apply the fraction rule:

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

= \frac{- 70}{82} + \frac{56}{82} i

Simplify

\frac{- 70}{82} + \frac{56}{82} i : - \frac{35}{41} + \frac{28}{41} i

= - \frac{35}{41} + \frac{28}{41} i

c (2) = - \frac{9}{2} (- \frac{4}{3})^{2 - 1}

9 = \frac{s}{6}

n^{2} - 4 n - 5

\frac{b ^{3} - 8}{b ^{2} - 9} \cdot \frac{b + 3}{b ^{2} + 2 b + 4}

\frac{x - 9}{8} = 6