Question 508549
We are given
x+y = 10
xy = 14

If we solve for x in the first, then  y = 10-x, and then we can substitute it into the 2nd equation

x(10-x) = 14

10x - x^2 = 14

0 = x^2 -10x + 14

Hmm. 1.68337, 8.31663

This is your answer, but I doubt this what they wanted you to come up with. Are you sure it's not whose sum is 9?  If that were so, then by the same logic you would get 2,7 as your answer.

If not, then 1.68337, 8.31663 is your answer.