Solution constraints in rational and radical equations
Solve less direct rational and radical equations, including equations with parameters and restrictions on valid roots.
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Where this chapter sits in the course
Intermediate34
Chapter 17 of 34 · Intermediate
Lessons
Chapter 17 of 34 · 10 short lessons · 40 min- 1Equations with complex fractions4 min
- 2Substitution in rational equations4 min
- 3Identities and contradictions in rational equations3 min
- 4Parameter-dependent excluded roots4 min
- 5Equations with rational exponents4 min
- 6Quadratic radicands in equations4 min
- 7Sign conditions before squaring3 min
- 8Parameters and radical equation solutions4 min
- 9Counting valid rational and radical roots4 min
- 10Challenge: Solution constraints in rational and radical equations6 min
What you'll learn
- Solve rational and radical equations using substitution and equivalent forms
- Distinguish valid roots from excluded and extraneous candidates
- Determine how parameters affect solution sets
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