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We know that for equation ax^2+bx+c=0
a = 2,b = 3,c = -5
If the roots x1 and x2 are real numbers:
x1 + x2 = -b/a = -3/2
x1*x2 = c/a = -5/2

There are several methods of finding the extrema(plural of extremums or in other words minimum or maximum values) of a function.

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Metals have delocalised electrons which are free to move and carry charge throughout the sea of cations.