What is (i+2)/(i-2) ?

The solution to (i+2)/(i-2) is -3/5-4/5 i

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simplify (i+2)/(i-2)

simplify

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

- \frac{3}{5} - \frac{4}{5} i

Solution steps

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

Rewrite

i + 2

in standard complex form:

2 + i

Rewrite

i - 2

in standard complex form:

- 2 + i

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

Multiply by the conjugate

\frac{- 2 - i}{- 2 - i}

= \frac{( 2 + i ) ( - 2 - i )}{( - 2 + i ) ( - 2 - i )}

Simplify

\frac{( 2 + i ) ( - 2 - i )}{( - 2 + i ) ( - 2 - i )} : \frac{- 4 i - 3}{5}

= \frac{- 4 i - 3}{5}

Rewrite in standard complex form:

- \frac{3}{5} - \frac{4}{5} i

= - \frac{3}{5} - \frac{4}{5} i

6 (\frac{1}{3} d + 4) > 2 (d + 12)

(2 w - 1) w = 21

(x - 2)^{3} + 8 y^{3}

\frac{3}{5 - 2 x} \leq 2

x + 4 = - 3