Question

Determinati numerele reale x:
2{x}+3[x]=5x-2
{x}-partea fractionala a lui x
[x]-partea intreaga a lui x

Answer 1

2 ( x-[x]) + 3 [x] = 5x -2
2x-2 [x] + 3 [x] = 5x-2
2x+[x]=5x-2, scădem 2x
[x]=3x-2
[x]+2=3x rezulta ca x =1.