You can put this solution on YOUR website! Let p, q be two roots of a monic quadratic polynomial (without loss of generality assume the x^2 coefficient 1).
By Vieta's formulas, the sum of the roots is -b, and p + q = -b, so b = -10. Also, the product of the roots is c, i.e. pq = 22 --> c = 22. Therefore we have established our polynomial
which we can find the roots p, q. By the quadratic formula,
p, q =
Therefore the two numbers are and .