Question

Find two numbers whose difference is 92 and whose product is a minimum.

Answer 1

Explanation:

x -y = 92 x = 92+y

xy = minumum

(92+y) * y = minumum

y^2 + 92y = minumum this quadratic has a minimum at

y = -b/2a = - 92/(2*1) = - 46

x - -46 = 92 shows x = +46 minimum is then - 2116