5

Part of 1996 Argentina National Olympiad

Problems(1)

[x]+[1996x ]=1996

Source: Argentina 1996 OMA L3 p5

Determine all positive real numbers

x

\left [x\right ]+\left [\sqrt{1996x}\right ]=1996

is verified
Clarification:The brackets indicate the integer part of the number they enclose.

floor functionalgebra