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

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

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2=-2+4/(x^2)

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

x = 1, x = - 1

Solution steps

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

Move

2

to the left side

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

Multiply both sides by

x^{2}

4 x^{2} = 4

Solve

4 x^{2} = 4 : x = 1, x = - 1

x = 1, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 1, x = - 1

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

\frac{20}{x} = 4

\frac{x ^{2} + 7 x - 18}{x - 2} = 15

\frac{2 x + 3}{5} = \frac{45}{2 x + 3}

\frac{1}{q + 4} - \frac{2}{q - 2} = 1