find zeros of polynomial X^2_5 answer
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Given polynomial is x^2-5
Let the zeros be α,β. (α>β)
x^2-5=0 => x^2=5 or x = ✓+-5
or alpha = +√5 and beta =-√5
so alpha+beta =0 and alpha×beta=-5
So, α+β=0,αβ=−5
The coefficient of x is zero ⇒α+β=0
(& of x 2 is 1).
Constant = αβ=−5
Hence verified.
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