What is the answer to (x^4)/((x^2-1)^2)=1 ?

The answer to (x^4)/((x^2-1)^2)=1 is x= 1/(sqrt(2)),x=-1/(sqrt(2))

Solve for x: (x^4)/((x^2-1)^2)=1

The solution is x= 1/(sqrt(2)),x=-1/(sqrt(2))

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\frac{x ^{4}}{( x ^{2} - 1 ) ^{2}} = 1

x = \frac{1}{2}, x = - \frac{1}{2}

Decimal Notation

x = 0.70710 \dots, x = - 0.70710 \dots

Solution steps

\frac{x ^{4}}{( x ^{2} - 1 ) ^{2}} = 1

Multiply both sides by

(x^{2} - 1)^{2}

x^{4} = (x^{2} - 1)^{2}

Solve

x^{4} = (x^{2} - 1)^{2} : x = \frac{1}{2}, x = - \frac{1}{2}

x = \frac{1}{2}, x = - \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = 1, x = - 1

Combine undefined points with solutions:

x = \frac{1}{2}, x = - \frac{1}{2}

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

\frac{3}{x + 1} + \frac{4}{x + 2} = 2

x, y = \frac{x}{x - 5}

\frac{8}{4} = \frac{12}{x}

\frac{7}{x + 5} = \frac{10}{5}

What is the answer to (x^4)/((x^2-1)^2)=1 ?
The answer to (x^4)/((x^2-1)^2)=1 is x= 1/(sqrt(2)),x=-1/(sqrt(2))
Solve for x: (x^4)/((x^2-1)^2)=1
The solution is x= 1/(sqrt(2)),x=-1/(sqrt(2))