What is the answer to 1/(x+2)+1/(x-3)=4 ?

The answer to 1/(x+2)+1/(x-3)=4 is x=(3+sqrt(101))/4 ,x=(3-sqrt(101))/4

Solve for x: 1/(x+2)+1/(x-3)=4

The solution is x=(3+sqrt(101))/4 ,x=(3-sqrt(101))/4

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

x = \frac{3 + 101}{4}, x = \frac{3 - 101}{4}

Decimal Notation

x = 3.26246 \dots, x = - 1.76246 \dots

Solution steps

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

Multiply by LCM

2 x - 1 = 4 (x + 2) (x - 3)

Solve

2 x - 1 = 4 (x + 2) (x - 3) : x = \frac{3 + 101}{4}, x = \frac{3 - 101}{4}

x = \frac{3 + 101}{4}, x = \frac{3 - 101}{4}

Verify Solutions

Find undefined (singularity) points:

x = - 2, x = 3

Combine undefined points with solutions:

x = \frac{3 + 101}{4}, x = \frac{3 - 101}{4}

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

y, u = y^{- 3}

\frac{2}{3 ( 6 k - 30 ) + k} = 100

4000 = \frac{1000}{x + 1}

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

What is the answer to 1/(x+2)+1/(x-3)=4 ?
The answer to 1/(x+2)+1/(x-3)=4 is x=(3+sqrt(101))/4 ,x=(3-sqrt(101))/4
Solve for x: 1/(x+2)+1/(x-3)=4
The solution is x=(3+sqrt(101))/4 ,x=(3-sqrt(101))/4