Question

if alpha and beta are the zeros of the polynomial x^2-4x+1 then the value of alpha + 1/alpha is?

Answer 1

Answer:

Solution: Given quadratic polynomial is x 2 − 4 x + 1 . and are zeroes of given quadratic polynomial. Thus, 1 α + 1 β − α β = 3 .

Answer 2

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Given: α,β are zeroes of the polynomial x2−4x+1

To find the value of α1+β1−αβ

Sol: From the given quadratic equation,

α+β=4 and αβ=1

Therefore, 

α1+β1−αβ=αβα+β−αβ⟹=4−1=3