What is (-5+3i)/(1-4i) ?

The solution to (-5+3i)/(1-4i) is -1-i

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simplify (-5+3i)/(1-4i)

simplify

\frac{- 5 + 3 i}{1 - 4 i}

- 1 - i

Solution steps

\frac{- 5 + 3 i}{1 - 4 i}

Multiply by the conjugate

\frac{1 + 4 i}{1 + 4 i}

= \frac{( - 5 + 3 i ) ( 1 + 4 i )}{( 1 - 4 i ) ( 1 + 4 i )}

Simplify

\frac{( - 5 + 3 i ) ( 1 + 4 i )}{( 1 - 4 i ) ( 1 + 4 i )} : \frac{- 17 - 17 i}{17}

= \frac{- 17 - 17 i}{17}

Apply the fraction rule:

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

= \frac{- 17}{17} + \frac{- 17}{17} i

Simplify

\frac{- 17}{17} + \frac{- 17}{17} i : - 1 - i

= - 1 - i

x^{2} - 49 = 0

6 - 5 < 5 - 2

3 r^{2} + 18 r = 21

\frac{10}{10}

\frac{3}{6} \cdot \frac{1}{6}