What is (23-11i)/(7-9i) ?

The solution to (23-11i)/(7-9i) is 2+i

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simplify (23-11i)/(7-9i)

simplify

\frac{23 - 11 i}{7 - 9 i}

2 + i

Solution steps

\frac{23 - 11 i}{7 - 9 i}

Multiply by the conjugate

\frac{7 + 9 i}{7 + 9 i}

= \frac{( 23 - 11 i ) ( 7 + 9 i )}{( 7 - 9 i ) ( 7 + 9 i )}

Simplify

\frac{( 23 - 11 i ) ( 7 + 9 i )}{( 7 - 9 i ) ( 7 + 9 i )} : \frac{260 + 130 i}{130}

= \frac{260 + 130 i}{130}

Apply the fraction rule:

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

= \frac{260}{130} + \frac{130}{130} i

Simplify

\frac{260}{130} + \frac{130}{130} i : 2 + i

= 2 + i

(x - 1) (3 x^{2} - 5 x - 3)

2 \cdot 1 0^{- 7}

x^{2} - 4 x^{2}

\frac{1 + 8 i}{- 5 - 9 i}

\frac{100}{121}