What is (26-13i)/(3+2i) ?

The solution to (26-13i)/(3+2i) is 4-7i

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simplify (26-13i)/(3+2i)

simplify

\frac{26 - 13 i}{3 + 2 i}

4 - 7 i

Solution steps

\frac{26 - 13 i}{3 + 2 i}

Multiply by the conjugate

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

= \frac{( 26 - 13 i ) ( 3 - 2 i )}{( 3 + 2 i ) ( 3 - 2 i )}

Simplify

\frac{( 26 - 13 i ) ( 3 - 2 i )}{( 3 + 2 i ) ( 3 - 2 i )} : \frac{52 - 91 i}{13}

= \frac{52 - 91 i}{13}

Apply the fraction rule:

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

= \frac{52}{13} + \frac{- 91}{13} i

Simplify

\frac{52}{13} + \frac{- 91}{13} i : 4 - 7 i

= 4 - 7 i

\frac{5 a ^{2} - 20}{( a - 2 ) ^{2}}

\frac{33}{88}

e^{2 l n (x + 1) + 3}

- (a + b) + (- a - b) - (- b + a) + (3 a + b)

- 2 \cdot 16