What is the answer to (2x)/(x^2-12)=sqrt(2) ?

The answer to (2x)/(x^2-12)=sqrt(2) is x=3sqrt(2),x=-2sqrt(2)

Solve for x: (2x)/(x^2-12)=sqrt(2)

The solution is x=3sqrt(2),x=-2sqrt(2)

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\frac{2 x}{x ^{2} - 12} = 2

x = 32, x = - 22

Decimal Notation

x = 4.24264 \dots, x = - 2.82842 \dots

Solution steps

\frac{2 x}{x ^{2} - 12} = 2

Multiply both sides by

x^{2} - 12

2 x = 2 (x^{2} - 12)

Solve

2 x = 2 (x^{2} - 12) : x = 32, x = - 22

x = 32, x = - 22

Verify Solutions

Find undefined (singularity) points:

x = 23, x = - 23

Combine undefined points with solutions:

x = 32, x = - 22

\frac{3}{x - 2} = \frac{2}{x - 3}

\frac{10}{7} = \frac{50}{x}

x - 2 = \frac{3}{x}

\frac{x}{x - 2} - \frac{5}{x + 1} = 1

3 = \frac{a - ( - 3 )}{5 - a}

What is the answer to (2x)/(x^2-12)=sqrt(2) ?
The answer to (2x)/(x^2-12)=sqrt(2) is x=3sqrt(2),x=-2sqrt(2)
Solve for x: (2x)/(x^2-12)=sqrt(2)
The solution is x=3sqrt(2),x=-2sqrt(2)