What is the answer to solvefor x,12-1/x =x ?

The answer to solvefor x,12-1/x =x is x=6+sqrt(35),x=6-sqrt(35)

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solvefor x,12-1/x =x

solve for

x, 12 - \frac{1}{x} = x

x = 6 + 35, x = 6 - 35

Decimal Notation

x = 11.91607 \dots, x = 0.08392 \dots

Solution steps

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

Multiply both sides by

x

12 x - 1 = x^{2}

Solve

12 x - 1 = x^{2} : x = 6 + 35, x = 6 - 35

x = 6 + 35, x = 6 - 35

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 6 + 35, x = 6 - 35

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

5 = (\frac{1}{( 2 + x )}) + 1

5 = 10 (\frac{1}{x} - \frac{1}{2})

\frac{x - 1}{6 x} = \frac{x + 4}{5 x}

\frac{20}{x} = \frac{13}{11.25}

What is the answer to solvefor x,12-1/x =x ?
The answer to solvefor x,12-1/x =x is x=6+sqrt(35),x=6-sqrt(35)