8.7b Work - Solving Rational Equations

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What is a rational equation?

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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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What is the first step in solving a rational equation?

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The first step is to identify any restrictions on the variable that would make the denominator zero.

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What does it mean if a rational equation has 'No Solution'?

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It means that there are no values for the variable that satisfy the equation, often due to restrictions that make the denominators zero.

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No solution.

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What is the method to eliminate fractions in a rational equation?

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Multiply both sides of the equation by the least common denominator (LCD) of all the fractions.

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What is the significance of finding a common denominator in rational equations?

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Finding a common denominator allows you to combine fractions and simplify the equation, making it easier to solve.

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No Solution.

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What is a polynomial?

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A polynomial is a mathematical expression that consists of variables raised to whole number powers and coefficients.