ALT INP Solving Rational Equations

Front

Define a rational equation.

Back

A rational equation is an equation that involves at least one rational expression, which is a fraction where the numerator and/or denominator are polynomials.

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The domain restriction is x ≠ 2, as the denominator cannot be zero.

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x = -2.

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There are no domain restrictions for this equation.

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Back

x = \frac{61}{3}.

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The LCD is (x-2)(x+1).

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x = 0.

Front

What is the first step in solving a rational equation?

Back

Identify and state the domain restrictions to avoid division by zero.

Front

Define the term 'extraneous solution' in the context of rational equations.

Back

An extraneous solution is a solution that emerges from the algebraic manipulation of an equation but does not satisfy the original equation.

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y = -3.