What is the answer to (x^2-1)/(x-1)=3 ?

The answer to (x^2-1)/(x-1)=3 is x=2

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(x^2-1)/(x-1)=3

\frac{x ^{2} - 1}{x - 1} = 3

x = 2

Solution steps

\frac{x ^{2} - 1}{x - 1} = 3

Simplify

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

x + 1 = 3

Move

1

to the right side

x = 2

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = 2

\frac{12}{x} = \frac{12}{16}

r, S = \frac{r}{1 - r}

\frac{4}{1 + x ^{2}} = 1

2 x^{- 3} = \frac{2}{x ^{3}}

\frac{4.5}{3} = \frac{9}{x}