What is the answer to 8/(x-1)+x=11 ?

The answer to 8/(x-1)+x=11 is x=6+sqrt(17),x=6-sqrt(17)

Solve for x: 8/(x-1)+x=11

The solution is x=6+sqrt(17),x=6-sqrt(17)

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\frac{8}{x - 1} + x = 11

x = 6 + 17, x = 6 - 17

Decimal Notation

x = 10.12310 \dots, x = 1.87689 \dots

Solution steps

\frac{8}{x - 1} + x = 11

Multiply both sides by

x - 1

8 + x (x - 1) = 11 (x - 1)

Solve

8 + x (x - 1) = 11 (x - 1) : x = 6 + 17, x = 6 - 17

x = 6 + 17, x = 6 - 17

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = 6 + 17, x = 6 - 17

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

\frac{300}{x} + 8 = x - 200

\frac{- 32}{x} = - 8

\frac{2}{x + 5} = \frac{x + 2}{3 x + 11}

\frac{6}{x + 1} - \frac{1}{4} = \frac{1}{3 x + 3}

What is the answer to 8/(x-1)+x=11 ?
The answer to 8/(x-1)+x=11 is x=6+sqrt(17),x=6-sqrt(17)
Solve for x: 8/(x-1)+x=11
The solution is x=6+sqrt(17),x=6-sqrt(17)