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

The answer to 2/(x-1)+x=5 is x=3+sqrt(2),x=3-sqrt(2)

Solve for x: 2/(x-1)+x=5

The solution is x=3+sqrt(2),x=3-sqrt(2)

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

x = 3 + 2, x = 3 - 2

Decimal Notation

x = 4.41421 \dots, x = 1.58578 \dots

Solution steps

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

Multiply both sides by

x - 1

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

Solve

2 + x (x - 1) = 5 (x - 1) : x = 3 + 2, x = 3 - 2

x = 3 + 2, x = 3 - 2

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = 3 + 2, x = 3 - 2

3 x + \frac{7}{x + 7} = - \frac{x}{x + 7}

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

\frac{4}{Y} = \frac{18}{3 Y} + 1

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

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

What is the answer to 2/(x-1)+x=5 ?
The answer to 2/(x-1)+x=5 is x=3+sqrt(2),x=3-sqrt(2)
Solve for x: 2/(x-1)+x=5
The solution is x=3+sqrt(2),x=3-sqrt(2)