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1. Set the denominator equal to zero 2. Solve the resulting equation 3. The solution (s) is the value(s) for which the rational expression is undefined Examples: Find the values that make the rational expression undefined Writing Rational Expressions in Lowest Terms • A rational expression ...
Rational expressions contain fractions with polynomials in both the numerator and the denominator. Solving rational expression equations requires more work than solving standard polynomial equations because you have to find the common denominator of the rational terms, then simplify the resulting expressions....
Therefore, the rational expression is the quotient of two positive numbers, which is positive. Because the inequality requires that the rational expression be greater than O, and this will always be true, the solution set is (-∞, ∞).Use similar reasoning to solve each inequality.(x^4+x^...
If two terms have the same variables raised to the exact same exponents, subtract the second coefficient from the first and use the answer as the new coefficient for the combined term. The powers themselves do not change. For example:
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Solve simple linear inequalities. Continue a given number sequence. Recognise patterns in sequences and relationships between different sequences. Find the nth term of sequences. Express direct and inverse variation in algebraic terms and use this form of expression to find unknown quantities. ...
solve the rational inequality: [(x-3)(x-1)]/[(x^(2) -4x -5)] > 0 There are 4 steps to solve this one. Solution Share Step 1 Find all the values where the expression switches from negative to positive by setting each factor e...View the full answer Step 2 Unlock Step 3 ...
Step 5: Simplify, and solve for the variable. How to Solve Rational Equations with Factorable Quadratic Denominators that Simplify to Linear: Vocabulary Rational expression: Rational expressions are fractions with polynomials in the numerator and/or denominator. Rational e...