What is the answer to 1-1/(2-x)=(-1)/x ?

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

Solve for x: 1-1/(2-x)=(-1)/x

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

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1 - \frac{1}{2 - x} = \frac{- 1}{x}

x = 2, x = - 2

Decimal Notation

x = 1.41421 \dots, x = - 1.41421 \dots

Solution steps

1 - \frac{1}{2 - x} = \frac{- 1}{x}

Multiply by LCM

x (- x + 2) - x = - (- x + 2)

Solve

x (- x + 2) - x = - (- x + 2) : x = 2, x = - 2

x = 2, x = - 2

Verify Solutions

Find undefined (singularity) points:

x = 2, x = 0

Combine undefined points with solutions:

x = 2, x = - 2

x^{- 2} + x^{- 1} = 6

- \frac{3}{( x - 5 ) ^{2}} = 0

\frac{4 x}{x - 2} + \frac{6}{x + 2} = 3

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

6 + \frac{7}{y - 1} = \frac{2}{y + 2}

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