Question 188726
"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