What is (1-7i)/(6-2i) ?

The solution to (1-7i)/(6-2i) is 1/2-i

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simplify (1-7i)/(6-2i)

simplify

\frac{1 - 7 i}{6 - 2 i}

\frac{1}{2} - i

Solution steps

\frac{1 - 7 i}{6 - 2 i}

Multiply by the conjugate

\frac{6 + 2 i}{6 + 2 i}

= \frac{( 1 - 7 i ) ( 6 + 2 i )}{( 6 - 2 i ) ( 6 + 2 i )}

Simplify

\frac{( 1 - 7 i ) ( 6 + 2 i )}{( 6 - 2 i ) ( 6 + 2 i )} : \frac{20 - 40 i}{40}

= \frac{20 - 40 i}{40}

Apply the fraction rule:

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

= \frac{20}{40} + \frac{- 40}{40} i

Simplify

\frac{20}{40} + \frac{- 40}{40} i : \frac{1}{2} - i

= \frac{1}{2} - i

1 - 5 (x - 2) + 1 < 2 (x - 1) - 2

3 x^{2} = - 12 x - 15

\frac{1}{8 1 ^{- \frac{3}{4}}}

ab + \frac{ab}{a + b} (\frac{a + b}{a - b} - a - b)

\frac{4}{3} x + 5 = 9