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

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

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

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

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

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

Multiply both sides by

x

2 x^{2} + 1 = 4 x

Solve

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

\frac{c - 5}{5 - c} = 1

\frac{69}{( x - 74 )} = 3

\frac{5}{y - 2} + \frac{3}{y + 4} = 2

\frac{- 4}{13} = \frac{5}{x}

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