What is (i+1)/(i-1) ?

The solution to (i+1)/(i-1) is -i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (i+1)/(i-1)

simplify

\frac{i + 1}{i - 1}

- i

Solution steps

\frac{i + 1}{i - 1}

Rewrite

i + 1

in standard complex form:

1 + i

Rewrite

i - 1

in standard complex form:

- 1 + i

= \frac{1 + i}{- 1 + i}

Multiply by the conjugate

\frac{- 1 - i}{- 1 - i}

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

Simplify

\frac{( 1 + i ) ( - 1 - i )}{( - 1 + i ) ( - 1 - i )} : \frac{- 2 i}{2}

= \frac{- 2 i}{2}

Cancel the common factor:

2

= - i

4 x^{2} - 9 x = - x - 3

6 a^{2} - 7 b c - 6 ab + 7 a c

lo g_{8} (25)

6 = 5 x

\frac{2}{7} n^{2} - \frac{1}{7} n + \frac{1}{2} = 0