Question

If alpha and beta are the zeros of the polynomial x2-px+q find the value of

Answer 1

Answer:

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Answer 2

Answer:

Step-by-step explanation:

p(x) = x² - px + q

a = 1

b = p

c = q

If α and β are the zeroes of p(x) , then :-

α + β = -b/a  = -(-p) = p

αβ = c/a = q

to find :-

α² + β²

α² + β² = (α+ β)² - 2αβ

            = p² - 2q

∴

α² + β² = p² - 2q 

Hope it helps you...