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If a and b are integers such that a - b = 10, find the minimum value of a*b.

 Feb 28, 2022
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a = 5    b = -5      ab = -25

 

a-b =10     then    a = 10 + b

 

Find the minimum of   (10+b)(b) = b^2 + 10 b         parabola with     min occurs at b = - 10/(2*1) = -5

                                                 with b = -5    a = 5 

 Feb 28, 2022

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