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The largest integral value of a for which every solution of the equation x([x]−5)+2{x}+6=0 satisfies the inequality (a−3)x2+2(a+3)x−8a≤0, where [y] and {y} denote the greatest integer and fractional part functions respectively, is |
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Answer» The largest integral value of a for which every solution of the equation x([x]−5)+2{x}+6=0 satisfies the inequality (a−3)x2+2(a+3)x−8a≤0, where [y] and {y} denote the greatest integer and fractional part functions respectively, is |
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