What is (5+i)/(-3+2i) ?

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

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simplify (5+i)/(-3+2i)

simplify

\frac{5 + i}{- 3 + 2 i}

- 1 - i

Solution steps

\frac{5 + i}{- 3 + 2 i}

Multiply by the conjugate

\frac{- 3 - 2 i}{- 3 - 2 i}

= \frac{( 5 + i ) ( - 3 - 2 i )}{( - 3 + 2 i ) ( - 3 - 2 i )}

Simplify

\frac{( 5 + i ) ( - 3 - 2 i )}{( - 3 + 2 i ) ( - 3 - 2 i )} : \frac{- 13 - 13 i}{13}

= \frac{- 13 - 13 i}{13}

Apply the fraction rule:

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

= \frac{- 13}{13} + \frac{- 13}{13} i

Simplify

\frac{- 13}{13} + \frac{- 13}{13} i : - 1 - i

= - 1 - i

3 b + 6

lo g_{3} (\frac{3}{2})

(x + 1)^{2} (x - 4)

\frac{3 π}{2} \div 2

548 + 375