LIF and GIF

Find solution/s to : (x)[x]=1. here ( ) is Least Integer Function.
[ ]=Greatest Integer Function

3 Answers

21
Shubhodip ·

please give the definition of least integer. is (1.5)= (2-.5)= 2 ??

21
Shubhodip ·

well the idea is (x) and [x] are both integers.

so only possibilities are [x]= (x)=±1

1
gordo ·

hint: 2 cases, x= I+f
or x=I
for case 1, I(I+1)=1, which has no integral solution, hence from case 2, I^2=1, or I=+-1

Your Answer

Close [X]