The roots of an equation:
px^2 + qx + 1 = 0 are r1 and r2
Find r1^2 + r2^2 in terms of p and q
Divide byThe roots of the equation: . are
Find in terms of
There is a theorem that says:
. . . . . The sum of the roots is the negative of the x-coefficient.
. . . . . The product of the roots is the constant term.
Square : .
Substitute : .
. . Therefore: .