The fractional part of a real number x is x−[x], where [x] is the greatest integer less than or equal to x. Let F1 and F2 be the fractional parts of (44−√2017)2017 and (44+√2017)2017 respectively. Then F1+F2 lies between the numbers

The fractional part of a real number x is x−[x], where [x] is the gr

1.	The fractional part of a real number x is x−[x], where [x] is the greatest integer less than or equal to x. Let F1 and F2 be the fractional parts of (44−√2017)2017 and (44+√2017)2017 respectively. Then F1+F2 lies between the numbers
Answer» The fractional part of a real number $x$ is $x - [x],$ where $[x]$ is the greatest integer less than or equal to $x .$ Let $F_{1}$ and $F_{2}$ be the fractional parts of ${(44 - \sqrt{2017})}^{2017} and {(44 + \sqrt{2017})}^{2017}$ respectively. Then $F_{1} + F_{2}$ lies between the numbers