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Let [x] denote the greatest integer function. What is the number of solutions of the equation x2 - 4x + [x] = 0 in the interval [0, 2] ?
  • a)
    Zero (N solution)
  • b)
    One 
  • c)
    Two 
  • d)
    Three 
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Let [x] denote the greatest integer function. What is the number of so...
We have to find number of solution of the equation x- -4x + [४] = 0 in the interval [0,2]
We are dividing [0,2] in two intervals
i.e. [0,1] & [1,2]
we know that

 

∴ x = 0
Hence there are two solution of the given equation .
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Let [x] denote the greatest integer function. What is the number of solutions of the equation x2 - 4x + [x] = 0 in the interval [0, 2] ?a)Zero (N solution)b)Onec)Twod)ThreeCorrect answer is option 'C'. Can you explain this answer?
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