What is the answer to 2x+1/x-4=0 ?

The answer to 2x+1/x-4=0 is x=(2+sqrt(2))/2 ,x=(2-sqrt(2))/2

Solve for x: 2x+1/x-4=0

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

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2 x + \frac{1}{x} - 4 = 0

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

Decimal Notation

x = 1.70710 \dots, x = 0.29289 \dots

Solution steps

2 x + \frac{1}{x} - 4 = 0

Multiply both sides by

x

2 x^{2} + 1 - 4 x = 0

Solve

2 x^{2} + 1 - 4 x = 0 : x = \frac{2 + 2}{2}, x = \frac{2 - 2}{2}

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

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

\frac{x}{6 x + 3} = 5 x - 8 - 1111 - 55

\frac{a}{h} = \frac{h - a}{3}

\frac{6}{x} = \frac{4}{8}

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

What is the answer to 2x+1/x-4=0 ?
The answer to 2x+1/x-4=0 is x=(2+sqrt(2))/2 ,x=(2-sqrt(2))/2
Solve for x: 2x+1/x-4=0
The solution is x=(2+sqrt(2))/2 ,x=(2-sqrt(2))/2