What is the answer to 2x-5=-1/x ?

The answer to 2x-5=-1/x is x=(5+sqrt(17))/4 ,x=(5-sqrt(17))/4

Solve for x: 2x-5=-1/x

The solution is x=(5+sqrt(17))/4 ,x=(5-sqrt(17))/4

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

x = \frac{5 + 17}{4}, x = \frac{5 - 17}{4}

Decimal Notation

x = 2.28077 \dots, x = 0.21922 \dots

Solution steps

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

Multiply both sides by

x

2 x^{2} - 5 x = - 1

Solve

2 x^{2} - 5 x = - 1 : x = \frac{5 + 17}{4}, x = \frac{5 - 17}{4}

x = \frac{5 + 17}{4}, x = \frac{5 - 17}{4}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{5 + 17}{4}, x = \frac{5 - 17}{4}

0.1 = 100 \cdot \frac{x}{( x + 2 )}

\frac{2}{5} = \frac{4}{x}

\frac{( 5 + 7 )}{x} = 24

\frac{x + 2}{6 x} = \frac{x - 2}{5 x}

\frac{a}{b - x} = \frac{b}{a - x}

What is the answer to 2x-5=-1/x ?
The answer to 2x-5=-1/x is x=(5+sqrt(17))/4 ,x=(5-sqrt(17))/4
Solve for x: 2x-5=-1/x
The solution is x=(5+sqrt(17))/4 ,x=(5-sqrt(17))/4