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Solve the rational equation $\frac{x+1}{x-1}=x$

Step-by-step Solution

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Final Answer

The equation has no solutions.

Step-by-step Solution

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Multiply both sides of the equation by $x-1$

$x+1=x\left(x-1\right)$

Learn how to solve rational equations problems step by step online.

$x+1=x\left(x-1\right)$

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Learn how to solve rational equations problems step by step online. Solve the rational equation (x+1)/(x-1)=x. Multiply both sides of the equation by x-1. Solve the product x\left(x-1\right). Group the terms of the equation by moving the terms that have the variable x to the left side, and those that do not have it to the right side. Combining like terms x and x.

Final Answer

The equation has no solutions.

Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

Solve for xFind the rootsSolve by factoringSolve by completing the squareSolve by quadratic formula (general formula)Find break even pointsFind the discriminant

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Function Plot

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Main Topic: Rational Equations

Rational or fractional equations are those equations that contain algebraic fractions, and where the variable or unknown appears in the denominator of at least one of those fractions.

Used Formulas

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