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

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

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

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

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

x = 2, x = - 2

Solution steps

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

Multiply by LCM

2 x^{2} = x^{2} + 2

Solve

2 x^{2} = x^{2} + 2 : x = 2, x = - 2

x = 2, x = - 2

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 2, x = - 2

\frac{4}{5 x} - 3 = 0

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

\frac{- 5}{3 x} = - 26

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

x, \frac{1}{a x} + 7 = 25

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