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

The answer to (2x)/((x+1)(x-1))=x is x=0,x=-sqrt(3),x=sqrt(3)

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

The solution is x=0,x=-sqrt(3),x=sqrt(3)

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

x = 0, x = - 3, x = 3

Decimal Notation

x = 0, x = - 1.73205 \dots, x = 1.73205 \dots

Solution steps

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

Multiply both sides by

(x + 1) (x - 1)

2 x = x (x + 1) (x - 1)

Solve

2 x = x (x + 1) (x - 1) : x = 0, x = - 3, x = 3

x = 0, x = - 3, x = 3

Verify Solutions

Find undefined (singularity) points:

x = - 1, x = 1

Combine undefined points with solutions:

x = 0, x = - 3, x = 3

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

3 - q = \frac{3}{4} + \frac{3}{2 q}

\frac{5 x}{x + 1} = 8 - \frac{5}{x + 1}

x, g = \frac{x + y}{c x}

y, x = \frac{y}{y - 3}

What is the answer to (2x)/((x+1)(x-1))=x ?
The answer to (2x)/((x+1)(x-1))=x is x=0,x=-sqrt(3),x=sqrt(3)
Solve for x: (2x)/((x+1)(x-1))=x
The solution is x=0,x=-sqrt(3),x=sqrt(3)