Question

if alpha and beta are the zeroes of the polynomial ax2+bx+c then find the value of
√alpha / √beta + √beta /√alpha

Answer 1

Hii There!!!

Given α, β are the zeroes of the given polynomial
α + β = ( – b/a)
αβ = (c/a)

Consider, √α/√β +√β/√α

=) α+β/√αβ..

=) [-b/a] divided by√c/√a

=) [-b/a]×√a/√c

=) -b/√ac


Hope it helps

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