What is (2+3i)/(1-i) ?

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

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simplify (2+3i)/(1-i)

simplify

\frac{2 + 3 i}{1 - i}

- \frac{1}{2} + \frac{5}{2} i

Solution steps

\frac{2 + 3 i}{1 - i}

Multiply by the conjugate

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

= \frac{( 2 + 3 i ) ( 1 + i )}{( 1 - i ) ( 1 + i )}

Simplify

\frac{( 2 + 3 i ) ( 1 + i )}{( 1 - i ) ( 1 + i )} : \frac{- 1 + 5 i}{2}

= \frac{- 1 + 5 i}{2}

Rewrite in standard complex form:

- \frac{1}{2} + \frac{5}{2} i

= - \frac{1}{2} + \frac{5}{2} i

3 a^{2} + 16 a - 12

\frac{5}{3 x + 1} - \frac{20}{9 x ^{2} - 1} \leq \frac{2}{3 x - 1}

72 + 4 - 14 d = 36

- 2 \leq \frac{\frac{1}{x + 4} - \frac{1}{4}}{x} \leq x + 3

x (3 x - 4) \leq 7