What is ((11-5i))/(1-5i) ?

The solution to ((11-5i))/(1-5i) is 18/13+25/13 i

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simplify ((11-5i))/(1-5i)

simplify

\frac{( 11 - 5 i )}{1 - 5 i}

\frac{18}{13} + \frac{25}{13} i

Solution steps

\frac{11 - 5 i}{1 - 5 i}

Multiply by the conjugate

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

= \frac{( 11 - 5 i ) ( 1 + 5 i )}{( 1 - 5 i ) ( 1 + 5 i )}

Simplify

\frac{( 11 - 5 i ) ( 1 + 5 i )}{( 1 - 5 i ) ( 1 + 5 i )} : \frac{36 + 50 i}{26}

= \frac{36 + 50 i}{26}

Apply the fraction rule:

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

= \frac{36}{26} + \frac{50}{26} i

Simplify

\frac{36}{26} + \frac{50}{26} i : \frac{18}{13} + \frac{25}{13} i

= \frac{18}{13} + \frac{25}{13} i

12 x - x^{2}

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

lo g_{4} (84)

lo g_{4} (21)

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