What is the answer to ((2x^2))/(192-x^2)=1 ?

The answer to ((2x^2))/(192-x^2)=1 is x=8,x=-8

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((2x^2))/(192-x^2)=1

\frac{( 2 x ^{2} )}{192 - x ^{2}} = 1

x = 8, x = - 8

Solution steps

\frac{( 2 x ^{2} )}{192 - x ^{2}} = 1

Simplify

\frac{( 2 x ^{2} )}{192 - x ^{2}} : \frac{2 x ^{2}}{192 - x ^{2}}

\frac{2 x ^{2}}{192 - x ^{2}} = 1

Multiply both sides by

192 - x^{2}

2 x^{2} = 192 - x^{2}

Solve

2 x^{2} = 192 - x^{2} : x = 8, x = - 8

x = 8, x = - 8

Verify Solutions

Find undefined (singularity) points:

x = 83, x = - 83

Combine undefined points with solutions:

x = 8, x = - 8

\frac{4 x ^{2} - 25}{2 x - 5} = 14

\frac{( 6 - 3 x )}{x ^{2} + 2 x - 8} = 0

\frac{2 x + 7}{3 x} = 1

\frac{5 k + 7}{k - 1} = 3 k + 2

\frac{6}{x + 2} = \frac{3}{x - 4}

What is the answer to ((2x^2))/(192-x^2)=1 ?
The answer to ((2x^2))/(192-x^2)=1 is x=8,x=-8
Solve for x: ((2x^2))/(192-x^2)=1
The solution is x=8,x=-8