What is (-3+4i)/(-2+3i) ?

The solution to (-3+4i)/(-2+3i) is 18/13+1/13 i

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simplify (-3+4i)/(-2+3i)

simplify

\frac{- 3 + 4 i}{- 2 + 3 i}

\frac{18}{13} + \frac{1}{13} i

Solution steps

\frac{- 3 + 4 i}{- 2 + 3 i}

Multiply by the conjugate

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

= \frac{( - 3 + 4 i ) ( - 2 - 3 i )}{( - 2 + 3 i ) ( - 2 - 3 i )}

Simplify

\frac{( - 3 + 4 i ) ( - 2 - 3 i )}{( - 2 + 3 i ) ( - 2 - 3 i )} : \frac{18 + i}{13}

= \frac{18 + i}{13}

Rewrite in standard complex form:

\frac{18}{13} + \frac{1}{13} i

= \frac{18}{13} + \frac{1}{13} i

a^{2} = 0. 9^{2} + 1. 2^{2}

\frac{1}{4} + \frac{1}{16}

∣ x ∣ + 4 \geq 2

2 c - 3 (c - 4) = c + 2

\frac{π ^{30}}{π ^{18} \cdot π ^{4}}