Suppose the quadratic equals 0 when or

MATHEMATICS · Subjective · CBSE · Mathematics · Polynomials · Polynomials

Problem

Suppose the quadratic

x^2 + bx + c

equals 0 when

x = r

x = s

. If

r^2s + s^2r = 10

, and

b

and

c

are integers, find all possible ordered pairs

(b, c)