What is (-3+11i)/(3+2i) ?

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

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simplify (-3+11i)/(3+2i)

simplify

\frac{- 3 + 11 i}{3 + 2 i}

1 + 3 i

Solution steps

\frac{- 3 + 11 i}{3 + 2 i}

Multiply by the conjugate

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

= \frac{( - 3 + 11 i ) ( 3 - 2 i )}{( 3 + 2 i ) ( 3 - 2 i )}

Simplify

\frac{( - 3 + 11 i ) ( 3 - 2 i )}{( 3 + 2 i ) ( 3 - 2 i )} : \frac{13 + 39 i}{13}

= \frac{13 + 39 i}{13}

Apply the fraction rule:

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

= \frac{13}{13} + \frac{39}{13} i

Simplify

\frac{13}{13} + \frac{39}{13} i : 1 + 3 i

= 1 + 3 i

24 + 2 x - x^{2} = 0

3 x (x - 2) = 9 x^{2} - 11 x

593.7 x - 57 x^{2} = 1282.64 + 677.64

5 x^{2} \cdot x^{2}

10 y^{2} + 39 y + 14