What is the answer to 2x-6= 7/x ?

The answer to 2x-6= 7/x is x=(3+sqrt(23))/2 ,x=(3-sqrt(23))/2

Solve for x: 2x-6= 7/x

The solution is x=(3+sqrt(23))/2 ,x=(3-sqrt(23))/2

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2 x - 6 = \frac{7}{x}

x = \frac{3 + 23}{2}, x = \frac{3 - 23}{2}

Solution steps

2 x - 6 = \frac{7}{x}

Multiply both sides by

x

2 x^{2} - 6 x = 7

Solve

2 x^{2} - 6 x = 7 : x = \frac{3 + 23}{2}, x = \frac{3 - 23}{2}

x = \frac{3 + 23}{2}, x = \frac{3 - 23}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{3 + 23}{2}, x = \frac{3 - 23}{2}

\frac{3}{1 - x} = \frac{4}{2 x + 3}

\frac{x + 3}{9} - \frac{6 - x}{x} = 1

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

\frac{8}{x} = 160

\frac{5}{x + 3} = \frac{4}{x}

What is the answer to 2x-6= 7/x ?
The answer to 2x-6= 7/x is x=(3+sqrt(23))/2 ,x=(3-sqrt(23))/2
Solve for x: 2x-6= 7/x
The solution is x=(3+sqrt(23))/2 ,x=(3-sqrt(23))/2