Question 1068933
{{{system(X+Y=11,XY=21.25)}}}


{{{x(11-X)-21.25=0}}}

{{{-X^2+11X-21.25=0}}}

{{{X^2-11X+21.25=0}}}


discriminant,  {{{121-4*21.25=121-85=36=6^2}}}


{{{X=(11+- 6)/2}}}


{{{system(X=5/2,OR,X=17/2)}}}


The two numbers are  {{{5/2}}} and {{{17/2}}}.