What is the answer to 2/x-3=x ?

The answer to 2/x-3=x is x=(-3+sqrt(17))/2 ,x=(-3-sqrt(17))/2

The solution is x=(-3+sqrt(17))/2 ,x=(-3-sqrt(17))/2

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2/x-3=x

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

x = \frac{- 3 + 17}{2}, x = \frac{- 3 - 17}{2}

Decimal Notation

x = 0.56155 \dots, x = - 3.56155 \dots

Solution steps

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

Multiply both sides by

x

2 - 3 x = x^{2}

Solve

2 - 3 x = x^{2} : x = \frac{- 3 + 17}{2}, x = \frac{- 3 - 17}{2}

x = \frac{- 3 + 17}{2}, x = \frac{- 3 - 17}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{- 3 + 17}{2}, x = \frac{- 3 - 17}{2}

2.7 = \frac{37}{x}

0 = - 2000 + \frac{2662}{( 1 + x ) ^{3}}

\frac{1}{x - 3} + 2 = \frac{11}{x - 3}

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

\frac{4 x - 9}{2 x + 3} = 0

What is the answer to 2/x-3=x ?
The answer to 2/x-3=x is x=(-3+sqrt(17))/2 ,x=(-3-sqrt(17))/2
Solve for x: 2/x-3=x
The solution is x=(-3+sqrt(17))/2 ,x=(-3-sqrt(17))/2