What is the answer to (2x)/(x-1)+1/x =3 ?

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

Solve for x: (2x)/(x-1)+1/x =3

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

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

x = 2 - 3, x = 2 + 3

Decimal Notation

x = 0.26794 \dots, x = 3.73205 \dots

Solution steps

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

Multiply by LCM

2 x^{2} + x - 1 = 3 x (x - 1)

Solve

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

x = 2 - 3, x = 2 + 3

Verify Solutions

Find undefined (singularity) points:

x = 1, x = 0

Combine undefined points with solutions:

x = 2 - 3, x = 2 + 3

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

x^{- 2} = 3

a, R = \frac{a s}{a + s}

10 x - 4 (- x + 2) + 3 = \frac{8}{2 x}

(\frac{3}{a}) - (\frac{5}{a}) = 2

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