Question
Download Solution PDFIf \(x = {1 \ \over x - 3}\), (x > 0), then the value of \(x + {1 \ \over x}\) is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept used:
If x - 1/x = a, then x + 1/x = √(a2 + 4)
Calculation:
⇒ x2 - 3x = 1
⇒ x2 - 3x - 1 = 0
⇒ x - 3 - 1/x = 0
⇒ x - 1/x = 3
Now, if x - 1/x = 3, then = √(32 + 4) =
∴ The correct answer is
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