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

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

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0=4-1/(x^2)

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

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

Decimal Notation

x = 0.5, x = - 0.5

Solution steps

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

Move

4

to the left side

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

Multiply both sides by

x^{2}

- 4 x^{2} = - 1

Solve

- 4 x^{2} = - 1 : 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 + 2}{x + 1} = 0

32 (\frac{1 - 1}{x}) = 25

\frac{4}{x - 4} = \frac{10}{x - 5}

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

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