What is the answer to x^2+((16)/(x^2))=8 ?

The answer to x^2+((16)/(x^2))=8 is x=2,x=-2

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x^2+((16)/(x^2))=8

x^{2} + (\frac{16}{x ^{2}}) = 8

x = 2, x = - 2

Solution steps

x^{2} + (\frac{16}{x ^{2}}) = 8

Simplify

(\frac{16}{x ^{2}}) : \frac{16}{x ^{2}}

x^{2} + \frac{16}{x ^{2}} = 8

Multiply both sides by

x^{2}

x^{4} + 16 = 8 x^{2}

Solve

x^{4} + 16 = 8 x^{2} : x = 2, x = - 2

x = 2, x = - 2

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 2, x = - 2

\frac{66}{w} = 11

y, 3 \frac{z}{y} + 2 = 3

a = \frac{9}{4 r ^{2}}

\frac{6.5}{x} = 0.68

\frac{( 25 x )}{36 x} = 3 0^{2}

What is the answer to x^2+((16)/(x^2))=8 ?
The answer to x^2+((16)/(x^2))=8 is x=2,x=-2
Solve for x: x^2+((16)/(x^2))=8
The solution is x=2,x=-2