What is the answer to 1/(x-1)+1/(x+2)= 5/4 ?

The answer to 1/(x-1)+1/(x+2)= 5/4 is x=2,x=-7/5

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1/(x-1)+1/(x+2)= 5/4

\frac{1}{x - 1} + \frac{1}{x + 2} = \frac{5}{4}

x = 2, x = - \frac{7}{5}

Decimal Notation

x = 2, x = - 1.4

Solution steps

\frac{1}{x - 1} + \frac{1}{x + 2} = \frac{5}{4}

Multiply by LCM

4 (x + 2) + 4 (x - 1) = 5 (x - 1) (x + 2)

Solve

4 (x + 2) + 4 (x - 1) = 5 (x - 1) (x + 2) : x = 2, x = - \frac{7}{5}

x = 2, x = - \frac{7}{5}

Verify Solutions

Find undefined (singularity) points:

x = 1, x = - 2

Combine undefined points with solutions:

x = 2, x = - \frac{7}{5}

\frac{2}{x} + \frac{5}{3} = \frac{7}{x}

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

\frac{10}{3} = \frac{4}{x}

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

\frac{1}{x} = \frac{x - 34}{2 x ^{2}}

What is the answer to 1/(x-1)+1/(x+2)= 5/4 ?
The answer to 1/(x-1)+1/(x+2)= 5/4 is x=2,x=-7/5
Solve for x: 1/(x-1)+1/(x+2)= 5/4
The solution is x=2,x=-7/5