Fractional Part Meets a Line
Difficulty: Hard · Topics: Algebra, Functions, Function Values
Kasr qism to‘g‘ri chiziq bilan uchrashadi
For each integer n, f(x)=x-n whenever n≤ x<n+1 (the fractional part of x).
How many real numbers x with 0≤ x<5 satisfy f(x)=x/5?
Har bir n butun son uchun n≤ x<n+1 bo‘lganda f(x)=x-n (x ning kasr qismi).
0≤ x<5 shartdagi nechta x haqiqiy son f(x)=x/5 ni qanoatlantiradi?