MathDB

3

Part of 2004 South africa National Olympiad

Problems(1)

Equation involving floors

Source: South African MO 2004 Q3

5/27/2012
Find all real numbers xx such that x⌊x⌊x⌊x⌋⌋⌋=88x\lfloor x\lfloor x\lfloor x\rfloor\rfloor\rfloor=88. The notation ⌊x⌋\lfloor x\rfloor means the greatest integer less than or equal to xx.
floor functionceiling functionfunctionalgebranumber theory unsolvednumber theory