Sum of zeroes = α + β =√2 Product of zeroes = α β = 1/3 ∴ If α and β are zeroes of any quadratic polynomial, the
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Step-by-step explanation:
given sum = root 2 =sum of zeroes
product of zeroes =1/3=c/a
i.e,root2= -b/a
consider root 2 = root 2×3/3{multipling both terms by 3
then 1/3=c/a, 3root2/3=-b/a
so a=3, b=-3root2, c=1
hence the equation is 3x^2-3root2+1
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