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Question No. 10
The number of solutions of the equation x + - x + x 2 = 1 , where [.] denotes the greatest integer function is
A. Infinitely many
B. 4
C. 2
D. 0

-x=-x-1, if x is not integer-x=-x, if x is an integerCase 1: x is not a integerx+-x+x2=1x-x-1+x2=1-1+x2=1x2=2x=±2Case 2:x is an integerx+-x+x2=1x-x+x2=1x2=1x=±1Total 4 solutions

  • 0
c) 2
  • -1
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