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

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

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

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

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

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

Decimal Notation

x = 0, x = 1.36602 \dots, x = - 0.36602 \dots

Solution steps

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

Multiply both sides by

x - 1

x = 2 x^{2} (x - 1)

Solve

x = 2 x^{2} (x - 1) : x = 0, x = \frac{1 + 3}{2}, x = \frac{1 - 3}{2}

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

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

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

a, g = b - \frac{c}{a}

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

F = \frac{G m _{1} m _{2}}{d ^{2}}

\frac{8}{17} = \frac{5}{7 x}

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

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