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

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infinitely many solutions

exactly four integral solutions

exactly two solutions

no integral solution

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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