Determine the sum of all real numbers x satisfying (x^2 - 4x + 2) + (x^2 - 5x + 2) = 1.
(x^2 - 4x + 2) + (x^2 - 5x + 2) = 1 simplify as
2x^2 - 9x + 3 = 0
This will have two real roots
In the form ax^2 + bx + c , the sum of these = -b / a = 9 / 2
