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}

Simplify

\frac{- 1}{x} : - \frac{1}{x}

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}

34.71 x = (1 + x)^{- 12}

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

1.5 = 9 (\frac{x}{50 + x})

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

8 = \frac{2}{x} + \frac{3}{4}

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