What is (i^{26}-i)/(i-1) ?

The solution to (i^{26}-i)/(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^{26}-i)/(i-1)

simplify

\frac{i ^{26} - i}{i - 1}

i

Solution steps

\frac{i ^{26} - i}{i - 1}

Rewrite

i - 1

in standard complex form:

- 1 + i

= \frac{i ^{26} - i}{- 1 + i}

Multiply by the conjugate

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

= \frac{( i ^{26} - i ) ( - 1 - i )}{( - 1 + i ) ( - 1 - i )}

Simplify

\frac{( i ^{26} - i ) ( - 1 - i )}{( - 1 + i ) ( - 1 - i )} : \frac{2 i}{2}

= \frac{2 i}{2}

Cancel the common factor:

2

= i

3 x + 6 = 6 x

x^{2} + 14 x + 22 = 0

- \frac{1.1 ( 5 )}{( 0.01 ( 5 ) ^{2} + 1 ) ^{2}}

3 (x - 1) + 7 > 4 x + 2 - 3 (2 - x)

2 (x - 1) < 1 - 6 x