What is (1+8i)/(2-4i) ?

The solution to (1+8i)/(2-4i) is -3/2+i

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simplify (1+8i)/(2-4i)

simplify

\frac{1 + 8 i}{2 - 4 i}

- \frac{3}{2} + i

Solution steps

\frac{1 + 8 i}{2 - 4 i}

Multiply by the conjugate

\frac{2 + 4 i}{2 + 4 i}

= \frac{( 1 + 8 i ) ( 2 + 4 i )}{( 2 - 4 i ) ( 2 + 4 i )}

Simplify

\frac{( 1 + 8 i ) ( 2 + 4 i )}{( 2 - 4 i ) ( 2 + 4 i )} : \frac{- 30 + 20 i}{20}

= \frac{- 30 + 20 i}{20}

Apply the fraction rule:

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

= \frac{- 30}{20} + \frac{20}{20} i

Simplify

\frac{- 30}{20} + \frac{20}{20} i : - \frac{3}{2} + i

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

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3 x^{2} + 7 x = 6

(x + 8)^{2} - 23 = - 22

\frac{3 ^{2}}{- 5}

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