AN Interesting problem

Find the numebr of solutions of the equation-
8[x2 - x] + 4[x]=13+12[sinx],where [.]denotes the G.I.F.

2 Answers

466
Himanshu Giria ·

No solution at all...

263
Sushovan Halder ·

Another solution can be:
Let a=[x^2-x];b=[x];c=[sinx].And all of these are integers.so
8a+4b-12c=13
or,2a+b-3c=13/4. LHS is an integer while RHS is not.Hence no solution.

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