Given that the difference between the roots of the equation 
is 
.
Recall that the sum of roots of a quadratic equation is given by
.
Let the two roots of the equation be
and 
, then
. . . (1)
Also recall that the product of the two roots of a quadratic equation is given by
, thus:
. . . (2)
From (1), we have:
Substituting for alpha into (2), gives:
Recall that the sum of roots of a quadratic equation is given by
Let the two roots of the equation be
Also recall that the product of the two roots of a quadratic equation is given by
From (1), we have:
Substituting for alpha into (2), gives: