What is (-28-11i)/(10-9i) ?

The solution to (-28-11i)/(10-9i) is -1-2i

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simplify (-28-11i)/(10-9i)

simplify

\frac{- 28 - 11 i}{10 - 9 i}

- 1 - 2 i

Solution steps

\frac{- 28 - 11 i}{10 - 9 i}

Multiply by the conjugate

\frac{10 + 9 i}{10 + 9 i}

= \frac{( - 28 - 11 i ) ( 10 + 9 i )}{( 10 - 9 i ) ( 10 + 9 i )}

Simplify

\frac{( - 28 - 11 i ) ( 10 + 9 i )}{( 10 - 9 i ) ( 10 + 9 i )} : \frac{- 181 - 362 i}{181}

= \frac{- 181 - 362 i}{181}

Apply the fraction rule:

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

= \frac{- 181}{181} + \frac{- 362}{181} i

Simplify

\frac{- 181}{181} + \frac{- 362}{181} i : - 1 - 2 i

= - 1 - 2 i

y^{2} - y^{2}

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(x - 1) (3 x^{2} - 8 x + 2)

2 \times 9

125 \frac{2}{3}