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Find quadratic polynomial whose zeroes (5+2√3)and (5-2√3)

Answer» Alfa=5+2root3 beta=5-2root3Alfa + beta = 5+2root3+5-2root3 +2root3 - 2root3 will be cancelledSo alfa+beta=5+5=10Alfa*beta=(5+2root3)*(5-2root3) =25-10root3+10root3-12 =13The quadratic polynomial is xsquare -(alfa+beta)x + (alfa*beta)So the polynomial be will xsquare -10x +13
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Thanks booe de bhai
x2-10x+25-4√3
X×x-10x+13


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