Question

If alpha and beta are the zeroes of the quadratic polynomial x²-x+1, then find alpha²+beta²

Answer 1

Step-by-step explanation:

alpha and beta are the zeroes of quadratic polynomial x^2-x+1.

so, alpha. beta=constant term/coefficient of x^2.

=1/1=1.

hence, alpha=1 and beta =1.

so, alpha^2+beta^2=1^2+1^2=1+1=2