What is the answer to 8-2/(x^2)=0 ?

The answer to 8-2/(x^2)=0 is x= 1/2 ,x=-1/2

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8-2/(x^2)=0

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

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

Decimal Notation

x = 0.5, x = - 0.5

Solution steps

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

Multiply both sides by

x^{2}

8 x^{2} - 2 = 0

Solve

8 x^{2} - 2 = 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{2 x + 1}{x - 3} = 4

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

\frac{x + 5}{2 x + 3} = \frac{1 - 2 x}{x + 3}

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

\frac{x - 8}{x + 2} = \frac{x - 1}{2 x + 10}