What is the answer to 1/(x-2)+3/(x+3)=6 ?

The answer to 1/(x-2)+3/(x+3)=6 is x=(-1+sqrt(199))/6 ,x=-(1+sqrt(199))/6

Solve for x: 1/(x-2)+3/(x+3)=6

The solution is x=(-1+sqrt(199))/6 ,x=-(1+sqrt(199))/6

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\frac{1}{x - 2} + \frac{3}{x + 3} = 6

x = \frac{- 1 + 199}{6}, x = - \frac{1 + 199}{6}

Decimal Notation

x = 2.18445 \dots, x = - 2.51778 \dots

Solution steps

\frac{1}{x - 2} + \frac{3}{x + 3} = 6

Multiply by LCM

x + 3 + 3 (x - 2) = 6 (x - 2) (x + 3)

Solve

x + 3 + 3 (x - 2) = 6 (x - 2) (x + 3) : x = \frac{- 1 + 199}{6}, x = - \frac{1 + 199}{6}

x = \frac{- 1 + 199}{6}, x = - \frac{1 + 199}{6}

Verify Solutions

Find undefined (singularity) points:

x = 2, x = - 3

Combine undefined points with solutions:

x = \frac{- 1 + 199}{6}, x = - \frac{1 + 199}{6}

63 = \frac{3 \times ( x ^{3} - 1 )}{x - 1}

8 + \frac{6}{x} = x + 9

8 = \frac{16}{x}

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

\frac{x}{x + 4} = \frac{32}{x ^{2} - 16} + 6

What is the answer to 1/(x-2)+3/(x+3)=6 ?
The answer to 1/(x-2)+3/(x+3)=6 is x=(-1+sqrt(199))/6 ,x=-(1+sqrt(199))/6
Solve for x: 1/(x-2)+3/(x+3)=6
The solution is x=(-1+sqrt(199))/6 ,x=-(1+sqrt(199))/6