What is (-11+13i)/(-1+3i) ?

The solution to (-11+13i)/(-1+3i) is 5+2i

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simplify (-11+13i)/(-1+3i)

simplify

\frac{- 11 + 13 i}{- 1 + 3 i}

5 + 2 i

Solution steps

\frac{- 11 + 13 i}{- 1 + 3 i}

Multiply by the conjugate

\frac{- 1 - 3 i}{- 1 - 3 i}

= \frac{( - 11 + 13 i ) ( - 1 - 3 i )}{( - 1 + 3 i ) ( - 1 - 3 i )}

Simplify

\frac{( - 11 + 13 i ) ( - 1 - 3 i )}{( - 1 + 3 i ) ( - 1 - 3 i )} : \frac{50 + 20 i}{10}

= \frac{50 + 20 i}{10}

Apply the fraction rule:

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

= \frac{50}{10} + \frac{20}{10} i

Simplify

\frac{50}{10} + \frac{20}{10} i : 5 + 2 i

= 5 + 2 i

\frac{2}{3} \div \frac{3}{5}

x (x + 2) (x + 4)

6 x^{2} y - 30 x y^{2} + 12 x^{2} y^{2}

(z - 3)^{2}

\frac{3}{10} \div \frac{5}{6}