Week 15 – Precalc 11

This week in Precalculus 11, we learned about solving rational equations.

Rational equation: an equation containing rational expressions.

To solve a rational equation, we first identify non-permissible values. One way to solve a rational equation is to multiply each term by the lowest common denominator, then solve normally. Another is if 2 fractions are equal to eachother and have either the same numerators or same denominators, their numerators/denominators must also match. We then check for extraneous roots, or non-permissible values.

Example:

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