Question
Download Solution PDFlf f(x) = [x]2 - 30[x] + 221 = 0, where [x] is the greatest integer function, then what is the sum of all integer solutions?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
f(x) = [x]2 – 30[x] + 221 = 0
⇒ [x] = \(\frac{30± \sqrt{900-884}}{2} = \frac{30±4}{2}\)
⇒ [x] = \(\frac{30+ 4}{2 }, \frac{30 -4 }{2}\)
⇒ [x] = 17 , 13
Thus, Sum of integral solution of f(x) = 30.
∴ Option (d) is correct
Last updated on May 30, 2025
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