Question

Aflati [x]+2{x}
unde
x=√3
x=17supra5
x=-23 supra10

Answer 1

[x]+2{x}=[x]+{x}+{x}=x+{x}

atunci pt x=17/5, x+{x}=17/5+2/5=19/5=4,8

ptx=-23/10 ,x+{x}=-23/10+7/10=-16/10=-1,6

ptx=√3, tinand cont ca [√3]=1**si deci {x}=√3-1 avem atunci

x+{x}=√3 +√3-1=2√3-1

**

1=√1<√3<√4=2 deci √3∈(1;2) deci [√3]=1