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Questions  

 Number of integers satisfying x24x21<0 is 

a
1
b
2
c
3
d
infinite

detailed solution

Correct option is B

x2−4x2−1<0 We must have x2−1≥0 or  (x−1)(x+1)≥0 or  x≤−1 or x≥1-----(1) Also x2−4x2−1<0⇒ x2−4<0⇒ −2

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The solution of x1=(x[x])(x{x})  (where [x]  and {x}  are the integral and fractional part of x ) is :


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