Lovely Equation

Algebra Level 4

If sum of all the values of \(x\) satisfying \[\Large 4\{x\}=x+\left\lfloor x \right\rfloor\] is \(\dfrac{m}{n}\). Find \(\large (m+n)\)

Details

  • \(\big\{x\}\) is fractional part function.

  • \(\left\lfloor x \right\rfloor\) is greatest integer function or floor function

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