What is the answer to 2=-6+8/(x^2) ?

The answer to 2=-6+8/(x^2) is x=1,x=-1

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2=-6+8/(x^2)

2 = - 6 + \frac{8}{x ^{2}}

x = 1, x = - 1

Solution steps

2 = - 6 + \frac{8}{x ^{2}}

Move

6

to the left side

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

Multiply both sides by

x^{2}

8 x^{2} = 8

Solve

8 x^{2} = 8 : 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{4}{x} = \frac{7}{3}

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

4 = \frac{7}{5} - \frac{2}{c}

4 = \frac{7}{5} - \frac{2}{x}

\frac{b + 8}{b - 7} = \frac{3}{4}