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The minimum value of the expression x^(2...

The minimum value of the expression `x^(2)+2x+3` is

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The minimum value of the expression 2x^(2)+5x+5 is

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The minimum value of the expression x^(2)-k x+alpha is 6 which is obtained at x=3 . Find the value of alpha / 3 .

If x is real, then the minimum value of the expression x^2-8x+17 is

If x is real, then the minimum value of the expression x^2-8x+17 is

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Let f(b) be the minimum value of the expression y=x^(2)-2x+(b^(3)-3b^(2)+4)AA x in R . Then, the maximum value of f(b) as b varies from 0 to 4 is

Let f(b) be the minimum value of the expression y=x^(2)-2x+(b^(3)-3b^(2)+4)AA x in R . Then, the maximum value of f(b) as b varies from 0 to 4 is