From a quadratic polynomial whose zeroes are 3 + √2 and 3 - √2
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α = 3+√2
β= 3-√2
sum of zeroes( α+β) = 3+√2 + 3-√2
= 6
product of zeroes (αβ) = (3+√2) ( 3-√2)
= 7
we know that
quadratic equation = x^2 - (α+β)x + αβ
= x^2 - 6x + 7
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