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

The answer to (2x)/(x-3)+1/x =3 is x=5-sqrt(22),x=5+sqrt(22)

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

The solution is x=5-sqrt(22),x=5+sqrt(22)

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

x = 5 - 22, x = 5 + 22

Decimal Notation

x = 0.30958 \dots, x = 9.69041 \dots

Solution steps

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

Multiply by LCM

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

Solve

2 x^{2} + x - 3 = 3 x (x - 3) : x = 5 - 22, x = 5 + 22

x = 5 - 22, x = 5 + 22

Verify Solutions

Find undefined (singularity) points:

x = 3, x = 0

Combine undefined points with solutions:

x = 5 - 22, x = 5 + 22

\frac{- 2}{1} = \frac{450}{x}

(\frac{6}{3 c}) = (\frac{2}{3})

0 = 2 x - 16 x^{- 2}

9 = \frac{x + 4}{x + 12}

\frac{1440}{x} = 15

What is the answer to (2x)/(x-3)+1/x =3 ?
The answer to (2x)/(x-3)+1/x =3 is x=5-sqrt(22),x=5+sqrt(22)
Solve for x: (2x)/(x-3)+1/x =3
The solution is x=5-sqrt(22),x=5+sqrt(22)