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The set of all values of the parameter 'a' for which the points of minimum of the function y=1+a^(2)x-x^(3)satisfy the inequality (x^(2)+x+2)/(x^(2)+5x+6)le0is |
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Answer» An EMPTY SET ALSO `(x^(2)+x+2)/(x^(2)+5x+6)le0impliesx^(2)+5x+6lt0impliesx in (-3,-2)` If `a gt 0` than `x=-(a)/(sqrt(3))` is point of minima `implies - (a)/(sqrt(3)) in (-3,-2)implies a in (2sqrt(3),3sqrt(3))` If `a LT 0` then `x=(a)/(sqrt(3))` is point of minima `implies(a)/(sqrt(3))in (-3,-2)implies a in (-3sqrt(3),-2sqrt(3))` |
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