What is the answer to 5/x+1=x ?

The answer to 5/x+1=x is x=(1+sqrt(21))/2 ,x=(1-sqrt(21))/2

The solution is x=(1+sqrt(21))/2 ,x=(1-sqrt(21))/2

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5/x+1=x

\frac{5}{x} + 1 = x

x = \frac{1 + 21}{2}, x = \frac{1 - 21}{2}

Decimal Notation

x = 2.79128 \dots, x = - 1.79128 \dots

Solution steps

\frac{5}{x} + 1 = x

Multiply both sides by

x

5 + x = x^{2}

Solve

5 + x = x^{2} : x = \frac{1 + 21}{2}, x = \frac{1 - 21}{2}

x = \frac{1 + 21}{2}, x = \frac{1 - 21}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1 + 21}{2}, x = \frac{1 - 21}{2}

\frac{10}{3 x} = \frac{15}{9}

\frac{x - 20}{x} = \frac{33}{100}

\frac{4}{x} - \frac{1}{x - 1} = 9

\frac{( 1.12 + x ) ^{2}}{x ^{2}} = 6.4

\frac{3}{8 x} = 84

What is the answer to 5/x+1=x ?
The answer to 5/x+1=x is x=(1+sqrt(21))/2 ,x=(1-sqrt(21))/2
Solve for x: 5/x+1=x
The solution is x=(1+sqrt(21))/2 ,x=(1-sqrt(21))/2