What is the answer to 3/(x-1)+2/x =8 ?

The answer to 3/(x-1)+2/x =8 is x=(13+sqrt(105))/(16),x=(13-sqrt(105))/(16)

Solve for x: 3/(x-1)+2/x =8

The solution is x=(13+sqrt(105))/(16),x=(13-sqrt(105))/(16)

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\frac{3}{x - 1} + \frac{2}{x} = 8

x = \frac{13 + 105}{16}, x = \frac{13 - 105}{16}

Decimal Notation

x = 1.45293 \dots, x = 0.17206 \dots

Solution steps

\frac{3}{x - 1} + \frac{2}{x} = 8

Multiply by LCM

3 x + 2 (x - 1) = 8 x (x - 1)

Solve

3 x + 2 (x - 1) = 8 x (x - 1) : x = \frac{13 + 105}{16}, x = \frac{13 - 105}{16}

x = \frac{13 + 105}{16}, x = \frac{13 - 105}{16}

Verify Solutions

Find undefined (singularity) points:

x = 1, x = 0

Combine undefined points with solutions:

x = \frac{13 + 105}{16}, x = \frac{13 - 105}{16}

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

G (x) = \frac{x ^{2} + 3 x - 5}{x + 6}

\frac{7}{2 x} - \frac{5}{3 x} = \frac{22}{3}

1 + \frac{4}{x - 6} = - \frac{x}{x - 6}

\frac{1}{2} + \frac{2}{x} = \frac{3}{4}

What is the answer to 3/(x-1)+2/x =8 ?
The answer to 3/(x-1)+2/x =8 is x=(13+sqrt(105))/(16),x=(13-sqrt(105))/(16)
Solve for x: 3/(x-1)+2/x =8
The solution is x=(13+sqrt(105))/(16),x=(13-sqrt(105))/(16)