Question 848691
x*y = 52

x+y = 10

x = 10 - y

(10-y) * y = 52

10y - y^2 = 52

y^2 - 10y + 52 = 0   Not possible.

We check the discriminant:

b^2 - 4ac =   100 -4*52 = -8 < 0.