College Algebra / Unit 4 Alg 217 short lesson, about 20 seconds
Checking After Raising to a Power
Captions available
The idea
Raising both sides of an equation to a power can create extraneous solutions; every candidate gets checked in the original.
In practice
Squaring merges −2 and 2: both land on 4. An equation squared can gain solutions its original never had.
Where people slip
Extraneous solutions are the method's fault, not a slip.
Your place on the trail
Every lesson rests on earlier ones and opens later ones. Tap any to jump.
Builds on
- Nothing. This is a starting point.
Unlocks
- Nothing yet depends on this.
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