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Q.

Let [t] denote the greatest integert . Then the equation in  x,  x2+2x+27=0has:

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a

no integral solution

b

exactly four integral solutions

c

exactly two solutions

d

infinitely many solutions 

answer is A.

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Detailed Solution

[x]2+2[x]+4-7=0[x]2+2[x]-3=0([x]+3)([x]-1)=0-3[x]1

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Let [t] denote the greatest integer≤ t . Then the equation in  x,  x2+2x+2−7=0has: