What is the answer to (x^2)/(x^2-1)=0 ?

The answer to (x^2)/(x^2-1)=0 is x=0

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(x^2)/(x^2-1)=0

\frac{x ^{2}}{x ^{2} - 1} = 0

x = 0

Solution steps

\frac{x ^{2}}{x ^{2} - 1} = 0

\frac{f ( x )}{g ( x )} = 0 \Rightarrow f (x) = 0

x^{2} = 0

Solve

x^{2} = 0 : x = 0

x = 0

Verify Solutions

Find undefined (singularity) points:

x = 1, x = - 1

Combine undefined points with solutions:

x = 0

\frac{4 ( x - 2 )}{x - 3} = 3

y, \frac{y + 1}{y - 1} = x

\frac{x}{2 x - 4} - 7 = \frac{1}{x - 2}

5 x = \frac{5}{x}

9 + \frac{x}{x + 8} = - \frac{8}{x + 8}