Checking After Raising to a Power
This video presents the same text shown beside it, spoken and on screen. It adds nothing the text does not say.
State
Raising both sides of an equation to a power can create extraneous solutions; every candidate gets checked in the original.
Show
Squaring merges −2 and 2: both land on 4. An equation squared can gain solutions its original never had.
Watch for
Extraneous solutions are the method's fault, not a slip.
Builds on
- Nothing — this is a starting point.
Unlocks
- Nothing yet depends on this.