Question 1177207

The sum of two numbers is {{{34}}}. 

{{{x+y=34}}}
{{{y=34-x}}}

their product: 

{{{xy}}}...........substitute {{{y}}}
={{{x(34-x)}}}
={{{34x-x^2}}}............complete square
={{{-(x^2-34x+b^2)-(-b^2)}}}........{{{b=34/2=17}}}
={{{-(x^2-34x+17^2)+17^2}}}
={{{-(x-17)^2+289}}}

=> numbers are: {{{x=17}}} and{{{ y=17}}}