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

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

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

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

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

x = 2 (2 - 3), x = 2 (2 + 3)

Decimal Notation

x = 0.53589 \dots, x = 7.46410 \dots

Solution steps

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

Multiply by LCM

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

Solve

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

x = 2 (2 - 3), x = 2 (2 + 3)

Verify Solutions

Find undefined (singularity) points:

x = 2, x = 0

Combine undefined points with solutions:

x = 2 (2 - 3), x = 2 (2 + 3)

y, \frac{y}{y - 5} = 2 x

q, \frac{F}{q} + 2 q = 4 q

\frac{5}{x + 5} = \frac{15}{x + 7}

\frac{7}{x} - 3 = 0

726 = 6 (\frac{1 - r ^{5}}{1 - r})

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