What is the answer to 4-1/(x^2)=0 ?

The answer to 4-1/(x^2)=0 is x= 1/2 ,x=-1/2

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4-1/(x^2)=0

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

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

Decimal Notation

x = 0.5, x = - 0.5

Solution steps

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

Multiply both sides by

x^{2}

4 x^{2} - 1 = 0

Solve

4 x^{2} - 1 = 0 : x = \frac{1}{2}, x = - \frac{1}{2}

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

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

\frac{1}{6} + \frac{1}{9} = \frac{1}{x}

\frac{x - 9}{x ^{2} - 3 x} = \frac{12}{9 - x ^{2}}

\frac{x ^{2} + x - 6}{x - 2} = 5

\frac{4}{x + 3} = \frac{6}{x}