What two numbers multiply to positive 10 and add to positive 9?
The two numbers are (9 + sqrt(33))/2 and (9 - sqrt(33))/2.
x*y = 10 so y = 10/x
x + y = 9, so x + 10/x = 9 Multiply through by x and rearrange to get x^2 - 9x +10 = 0 Solve using the quadratic equation.