Question

If alpha and beta be the zeroes of quadratic polynomial p(x)=2x²-5x+8, evaluate
i) alpha ²+ beta ²
ii) alpha ²/beta² + beta ²/alpha ²

Answer 1

5/2,4 are the sum and product of zeros

I) alpha square+ beta square= [Alpha+beta]square +2 alpha*beta

(5/2)square+2(4)

25/4+8=57/4

I) 57/4