Algebra › Section G · Rational expressions and functions › Topic G.4
Solving rational equations
A rational equation wears fractions with variables in their denominators. The strategy is to sweep them all away with one multiplication - and the one non-negotiable rule is to check that the answers you find were legal in the first place.
In this topic
- Clear the fractions, then solve
- Variables in denominators
- Extraneous solutions
- Why the method manufactures ghosts
- The non-negotiable habit
- Proportions: the cross-multiply shortcut
- Worked example: a full solve with a factored LCD
- Worked example: two legal answers
- Common mistakes to avoid
- Key takeaways
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