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Popular >

a(x)=(x^2-1)/(x-1)

Solution

a (x) = \frac{x ^{2} - 1}{x - 1}

Solution

x = \frac{1}{a - 1}; a \neq = 1

Solution steps

a (x) = \frac{x ^{2} - 1}{x - 1}

Simplify

\frac{x ^{2} - 1}{x - 1} : x + 1

a (x) = x + 1

Expand

a (x) : a x

a x = x + 1

Move

x

to the left side

a x - x = 1

Factor

a x - x : x (a - 1)

x (a - 1) = 1

Divide both sides by

a - 1; a \neq = 1

x = \frac{1}{a - 1}; a \neq = 1

Popular Examples

(5x+3)/(4x-1)=a

\frac{5 x + 3}{4 x - 1} = a

\frac{9}{x} = 0

x + \frac{4}{x + 1} = 3

(-4)/(x+3)= 5/(x-3)

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

x/(x-6)+2= 6/(x-6)

\frac{x}{x - 6} + 2 = \frac{6}{x - 6}

Frequently Asked Questions (FAQ)

What is the answer to a(x)=(x^2-1)/(x-1) ?
The answer to a(x)=(x^2-1)/(x-1) is x= 1/(a-1);\quad a\ne 1