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

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

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

The solution is x=2+sqrt(6),x=2-sqrt(6)

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

x = 2 + 6, x = 2 - 6

Decimal Notation

x = 4.44948 \dots, x = - 0.44948 \dots

Solution steps

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

Multiply by LCM

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

Solve

x - 2 + 2 (x + 1) = (x + 1) (x - 2) : x = 2 + 6, x = 2 - 6

x = 2 + 6, x = 2 - 6

Verify Solutions

Find undefined (singularity) points:

x = - 1, x = 2

Combine undefined points with solutions:

x = 2 + 6, x = 2 - 6

\frac{x}{x + 4} = \frac{6}{5}

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

\frac{3}{b} = \frac{b}{12}

\frac{1}{21} = \frac{4}{h}

1.8 = \frac{( 4 x ^{2} )}{- 216 x}

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