Checking in the Original Equation
This video presents the same text shown beside it, spoken and on screen. It adds nothing the text does not say.
State
An extraneous solution is a value the solving method produces that fails the original equation; every rational-equation answer gets checked there.
Show
x/(x − 2) = 2/(x − 2) clears to x = 2, the very value both denominators forbid. No solution.
Watch for
Check against the original, never the cleared version.
Builds on
- Nothing — this is a starting point.
Unlocks
- Nothing yet depends on this.