# SOLUTION: the difference of two numbers is 6. Find their minimum product

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 Question 188726This question is from textbook : the difference of two numbers is 6. Find their minimum productThis question is from textbook Answer by user_dude2008(1861)   (Show Source): You can put this solution on YOUR website!"the difference of two numbers is 6"---> x-y=6 --->y=x-6 "Find their minimum product" ---> P=xy=x(x-6)=x^2-6x Minimum occurs at vertex. Vertex x=-b/2a=-(-6)/(2(1))=6/2=3 ---> y=3-6=-3 P=x^2-6x=(3)^2-6(3)=9-18=-9 Ans: two numbers are -3 and 3. Min product is -9