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 product This question is from textbook

Answer by user_dude2008(1862) About Me  (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