What is the answer to 2/x-2/5 =x ?

The answer to 2/x-2/5 =x is x=(-1+sqrt(51))/5 ,x=-(1+sqrt(51))/5

Solve for x: 2/x-2/5 =x

The solution is x=(-1+sqrt(51))/5 ,x=-(1+sqrt(51))/5

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

x = \frac{- 1 + 51}{5}, x = - \frac{1 + 51}{5}

Decimal Notation

x = 1.22828 \dots, x = - 1.62828 \dots

Solution steps

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

Multiply by LCM

10 - 2 x = 5 x^{2}

Solve

10 - 2 x = 5 x^{2} : x = \frac{- 1 + 51}{5}, x = - \frac{1 + 51}{5}

x = \frac{- 1 + 51}{5}, x = - \frac{1 + 51}{5}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{- 1 + 51}{5}, x = - \frac{1 + 51}{5}

\frac{3}{x + 1} - \frac{2}{x - 4} = 0

x, f = \frac{x - m}{x + m}

\frac{e}{x} = 0

\frac{3}{5 x} + \frac{7}{2 x} = 1

x + \frac{1}{x} - 3 = 0

What is the answer to 2/x-2/5 =x ?
The answer to 2/x-2/5 =x is x=(-1+sqrt(51))/5 ,x=-(1+sqrt(51))/5
Solve for x: 2/x-2/5 =x
The solution is x=(-1+sqrt(51))/5 ,x=-(1+sqrt(51))/5