Problem 167 of 7
Interpret identity validity for all variable values: (x-5)^2=0.
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distinguish identity from equation with limited solutions.
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Distinguish all-values identity from equation with limited solutions.
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Solution
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1. Ask whether equality holds for every allowed variable value.
2. Use expansion, factoring, or counterexample.
3. Classify as identity or not.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Saying any true equation is an identity.