Question

If alfa and beta are the zeros of the polynomial x^2-ax+b then find alfa^2+beta^2 plzz help me........

Answer 1

Here, alpha + beta = a and alpha*beta = b So, (alpha-beta) ^2 = (alpha + beta)^2 -4*(alpha*beta) = a^2 -4ab. Use these in the given expression to find out the value yourself.

Answer 2

alpha ^2+beta^2=(alpha + beta)^2-2alpha.beta
= (-b/a)^2-2.c/a
=1^2-2.b
=1-2b