How To Write A Rational Equation Complete Guide

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Graphing Rational Functions Rational Function Teaching Math Teaching Algebra
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A rational equation is an equation containing at least one fraction whose numerator and denominator are polynomials frac P x Q x. And I encourage you to pause the video and see if you can figure out what values of x satisfy this equation. If you have an equation containing rational expressions you have a rational equation.

Solving rational equations is pretty straightforward if you are careful to write each step completely.

F x g x x - 2 g x which is in the numerator must be of the same degree as the denominator since f has a horizontal asymptote. By doing so the leftover equation to deal with is usually either linear or quadratic. Finally check your solutions and throw out any that make the denominator zero. Cross-multiplication is a quick easy way of solving.