What is (26-22i)/(7+3i) ?

The solution to (26-22i)/(7+3i) is 2-4i

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simplify (26-22i)/(7+3i)

simplify

\frac{26 - 22 i}{7 + 3 i}

2 - 4 i

Solution steps

\frac{26 - 22 i}{7 + 3 i}

Multiply by the conjugate

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

= \frac{( 26 - 22 i ) ( 7 - 3 i )}{( 7 + 3 i ) ( 7 - 3 i )}

Simplify

\frac{( 26 - 22 i ) ( 7 - 3 i )}{( 7 + 3 i ) ( 7 - 3 i )} : \frac{116 - 232 i}{58}

= \frac{116 - 232 i}{58}

Apply the fraction rule:

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

= \frac{116}{58} + \frac{- 232}{58} i

Simplify

\frac{116}{58} + \frac{- 232}{58} i : 2 - 4 i

= 2 - 4 i

\frac{135}{2}

\frac{8}{n - 2} \cdot \frac{5 n + 50}{n + 10}

(4 x^{2} - 1) + (x^{3} - 3 x^{2} + 6 x - 2)

(1 + 3 x)^{2}

2.3 w - 7 + 8.1 - 3 w