Question

Pls ans the question given below

Answer 1

Answer:

Alpha + beta = -b/a = -p

alpha × beta = c/a = q

(alpha + beta) ^2 = (-p)^2 = p^2

(alpha - beta) ^2 = alpha^2 + beta^2 - (2 × alpha × beta)

= (alpha + beta) ^2 - 4×alpha ×beta

= p^2 - 4q

polynomial equation : x^2 - (sum of zeros)x + prodoct of zeros

sum of zeros = p^2 +p^2 - 4q = 2p^2 - 4q

product of zeros = p^2 (p^2-4q)

polynomial equation : x^2 - (2p^2-4q)x + p^2 (p^2-4q) is the required equation