Question

find the zero of the polynomial

Answer 1

Sum of root is -b/a and product of roots is c/a.Assuming alpha be x and beta to be y
-b/a is a+b
c/a is ab
square on both side so
b^2/a^2 is a^2 + b^2+ 2ab
which is a^2 + b^2 + 2(c/a)
which means b^2/a^2 - 2c/a is a^2 b^2
here a is 1 and b and c is q is -p so
p^2-2q