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

The answer to 4=x+1/x is x=2+sqrt(3),x=2-sqrt(3)

The solution is x=2+sqrt(3),x=2-sqrt(3)

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4=x+1/x

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

x = 2 + 3, x = 2 - 3

Decimal Notation

x = 3.73205 \dots, x = 0.26794 \dots

Solution steps

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

Multiply both sides by

x

4 x = x^{2} + 1

Solve

4 x = x^{2} + 1 : x = 2 + 3, x = 2 - 3

x = 2 + 3, x = 2 - 3

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 2 + 3, x = 2 - 3

\frac{3 x - 6}{4 x + 3} = \frac{3}{5}

\frac{1}{4 ( x + 2 ) ^{2} - 2} = 3

\frac{1}{1.5} = \frac{3.281}{x}

10800 = \frac{455000}{x - 16.66}

\frac{2}{x - 6} = \frac{3}{5 - x}

What is the answer to 4=x+1/x ?
The answer to 4=x+1/x is x=2+sqrt(3),x=2-sqrt(3)
Solve for x: 4=x+1/x
The solution is x=2+sqrt(3),x=2-sqrt(3)