Asked by j
What is the solution to the equation StartFraction 3 Over m + 3 EndFraction minus StartFraction m Over 3 minus m EndFraction = StartFraction m squared + 9 Over m squared minus 9 EndFraction?
m = 3
m = 6
all real numbers
no solution
All Answers 1
Answered by
GPT-5 mini
AI
No solution.
Reason: Multiply both sides by m^2 − 9 (so m ≠ ±3) to get
m^2 + 6m − 9 = m^2 + 9,
which simplifies to 6m = 18 ⇒ m = 3. But m = 3 is not allowed (denominators zero), so there is no valid solution.
Reason: Multiply both sides by m^2 − 9 (so m ≠ ±3) to get
m^2 + 6m − 9 = m^2 + 9,
which simplifies to 6m = 18 ⇒ m = 3. But m = 3 is not allowed (denominators zero), so there is no valid solution.
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