H Q RB are relas of Quadratispolynomial, p(x) dx24 be te thenevalute I

1.	H Q RB are relas of Quadratispolynomial, p(x) dx24 be te thenevalute II
Answer» If alpha and beta are roots of ax^2 + bx + c = 0 Then,alpha + beta = - b/aalphabeta = c/a....... (1) (alpha + beta)^2 = alpha^2 + beta^2 + 2alphabeta alpha^2 + beta^2 = (b/a)^2 + 2c/a (alpha - beta)^2 = (b/a)^2 + 2c/a - 2c/a (alpha - beta) = b/a.......(2) Therefore, Value of (1/alpha - 1/beta)= (beta - alpha)/alphabeta= - (alpha - beta)/alphabeta= - (b/a) / c/a= - b/c

H Q RB are relas of Quadratispolynomial, p(x) dx24 be te thenevalute II

Answer»

If alpha and beta are roots of ax^2 + bx + c = 0

Then,alpha + beta = - b/aalpha*beta = c/a....... (1)

(alpha + beta)^2 = alpha^2 + beta^2 + 2alpha*beta

alpha^2 + beta^2 = (b/a)^2 + 2c/a

(alpha - beta)^2 = (b/a)^2 + 2c/a - 2c/a

(alpha - beta) = b/a.......(2)

Therefore, Value of (1/alpha - 1/beta)= (beta - alpha)/alpha*beta= - (alpha - beta)/alpha*beta= - (b/a) / c/a= - b/c