What is the answer to (13x)/(2x^2-7)=1 ?

The answer to (13x)/(2x^2-7)=1 is x=7,x=-1/2

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(13x)/(2x^2-7)=1

\frac{13 x}{2 x ^{2} - 7} = 1

x = 7, x = - \frac{1}{2}

Decimal Notation

x = 7, x = - 0.5

Solution steps

\frac{13 x}{2 x ^{2} - 7} = 1

Multiply both sides by

2 x^{2} - 7

13 x = 2 x^{2} - 7

Solve

13 x = 2 x^{2} - 7 : x = 7, x = - \frac{1}{2}

x = 7, x = - \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = \frac{7}{2}, x = - \frac{7}{2}

Combine undefined points with solutions:

x = 7, x = - \frac{1}{2}

\frac{x ^{2} - x + 3}{x + 1} = \frac{x ^{2} + x}{x}

\frac{8 x}{( x ^{2} + 1 ) ^{2}} = 0

\frac{3}{5 x - 20} = 70

2 + \frac{1}{x} = 0

\frac{2 π}{x} = \frac{π}{2}

What is the answer to (13x)/(2x^2-7)=1 ?
The answer to (13x)/(2x^2-7)=1 is x=7,x=-1/2
Solve for x: (13x)/(2x^2-7)=1
The solution is x=7,x=-1/2