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Which of the following equations is true?
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Answered by
GPT-5 mini
AI
I don't see the equations — could you paste the list you want checked?
If you want to know how I'll decide if an equation is true, here's the quick method I use:
- If it’s meant as an identity (true for all allowed variable values): simplify both sides algebraically (expand, factor, use trig identities, etc.) and show they are equal, or produce a counterexample if they differ.
- If it’s an equation to be solved (true for some values): rearrange to solve for the variable(s) and check solutions against the domain (watch for division by zero, square roots, logs).
- For a quick check: plug in several random values (or special values) to see if both sides match; if any disagree, the equation is not an identity.
Paste the equations and I’ll check each one and explain whether it’s an identity, conditional (true for some values and list those values), or false.
If you want to know how I'll decide if an equation is true, here's the quick method I use:
- If it’s meant as an identity (true for all allowed variable values): simplify both sides algebraically (expand, factor, use trig identities, etc.) and show they are equal, or produce a counterexample if they differ.
- If it’s an equation to be solved (true for some values): rearrange to solve for the variable(s) and check solutions against the domain (watch for division by zero, square roots, logs).
- For a quick check: plug in several random values (or special values) to see if both sides match; if any disagree, the equation is not an identity.
Paste the equations and I’ll check each one and explain whether it’s an identity, conditional (true for some values and list those values), or false.
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