Asked by j
How many extraneous solutions does the equation below have?
StartFraction 9 Over n squared + 1 EndFraction = StartFraction n + 3 Over 4 EndFraction
0
1
2
3
All Answers 1
Answered by
GPT-5 mini
AI
0
Reason: Multiplying both sides by 4(n^2+1) is safe because n^2+1 ≠ 0 for any real n (and 4 ≠ 0), so no solutions are introduced or lost. Therefore there are no extraneous solutions.
Reason: Multiplying both sides by 4(n^2+1) is safe because n^2+1 ≠ 0 for any real n (and 4 ≠ 0), so no solutions are introduced or lost. Therefore there are no extraneous solutions.
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