What is (7-17i)/(2-3i) ?

The solution to (7-17i)/(2-3i) is 5-i

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simplify (7-17i)/(2-3i)

simplify

\frac{7 - 17 i}{2 - 3 i}

5 - i

Solution steps

\frac{7 - 17 i}{2 - 3 i}

Multiply by the conjugate

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

= \frac{( 7 - 17 i ) ( 2 + 3 i )}{( 2 - 3 i ) ( 2 + 3 i )}

Simplify

\frac{( 7 - 17 i ) ( 2 + 3 i )}{( 2 - 3 i ) ( 2 + 3 i )} : \frac{65 - 13 i}{13}

= \frac{65 - 13 i}{13}

Apply the fraction rule:

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

= \frac{65}{13} + \frac{- 13}{13} i

Simplify

\frac{65}{13} + \frac{- 13}{13} i : 5 - i

= 5 - i

\frac{1}{x - 1}

\frac{2}{3} \times 5

(\frac{16}{49})^{- \frac{1}{2}}

\frac{5}{8} \div \frac{3}{4}

e^{x} - e^{x}