What is (-1-10i)/(10-i) ?

The solution to (-1-10i)/(10-i) is -i

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simplify (-1-10i)/(10-i)

simplify

\frac{- 1 - 10 i}{10 - i}

- i

Solution steps

\frac{- 1 - 10 i}{10 - i}

Multiply by the conjugate

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

= \frac{( - 1 - 10 i ) ( 10 + i )}{( 10 - i ) ( 10 + i )}

Simplify

\frac{( - 1 - 10 i ) ( 10 + i )}{( 10 - i ) ( 10 + i )} : \frac{- 101 i}{101}

= \frac{- 101 i}{101}

Cancel the common factor:

101

= - i

x^{4} - 9 x^{2} + 20

8 63 x^{14} y^{9}

\frac{20}{99} + \frac{20}{101}

+ 64 - 81 d^{2}

6 + 5 x + (- 4) x^{2}