what is the minimum possible product of two numbers whose difference is 44?

Question

 what is the minimum possible product of two numbers whose difference is 44?

Answer 1

x and x-44 are the numbers

x(x-44)=0

x^2-44x=0

this is a parabola that opens upwards so there is a minimum point, the vertex (h,k)

h=-b/2a=-(-44)/2(1)=44/2=22

x=22 and x-44=22-44=-22

k=22(-22)=-484 minimum

22-(-22)=44