What Two Numbers Difference Is 12 And Product Is A Minimum?


2 Answers

Oddman Profile
Oddman answered
Let the product be given by the function p(x) where the smallest number is x.
p(x) = x(x+12) = x2 + 12x

P(x) defines a parabola, which will have a minimum at x=-12/2 = -6

The two numbers are -6 and +6.
The minimum of the expression
ax2 + bx + c
is at the value of x given by
x = -b/(2a)

Answer Question