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Solving a Rational Equation - Problem 6 531 views

If you have a fraction = another fraction, we call that a proportion. We can solve proportions using what's called "cross multiplication," or setting the product of diagonal numerators and denominators equal. Technically, what we're doing in this case is multiplying both sides by the reciprocal of one of the fractions, which makes it mathematically valid. Don't forget to include positive and negative solutions if you are taking square roots to solve for x, and don't forget to make sure all of your solutions are in the domain! (That is, make sure none of your solutions would make the denominator of one of your fractions zero.)

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