Minimum of a b ab

If a a and b b are integers and a b = 100 a-b=100 , find the minimum value of a × b a\times b .


The answer is -2500.

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1 solution

Raffy Chan
Mar 20, 2016

Since a-b=100

So a=b+100

Hence we are looking for the minimum of (b)(b+100)

The minimum of the equation occurs when b= -50 (Vertex Formula)

Substituting b=-50 we get a minimum of -2500

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