The value(s) of x for which [12]+[12+120]+[12+220]+[12+320]+⋯+[12+19 – InterviewSolution

1.	The value(s) of x for which [12]+[12+120]+[12+220]+[12+320]+⋯+[12+1920]=x2−8x+1 is/are(where [.] is greatest integer function)
Answer» The value(s) of $x$ for which $[\frac{1}{2}] + [\frac{1}{2} + \frac{1}{20}] + [\frac{1}{2} + \frac{2}{20}] + [\frac{1}{2} + \frac{3}{20}] + \dots + [\frac{1}{2} + \frac{19}{20}] = x^{2} - 8 x + 1$ is/are (where $[.]$ is greatest integer function)

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