Question

Find the quadratic polynomial of zeroes 4+ roots 6 and 4- root 6

Answer 1

$\alpha = 4 + \sqrt{6} \\ \beta = 4 - \sqrt{6} \\ \alpha + \beta = 4 + \sqrt{6 } + 4 - \sqrt{6} = 8 \\ \alpha \beta = (4 + \sqrt{6} )(4 - \sqrt{6} ) = 10 \\ quadrtic \: polynomial \: = {x}^{2} - ( \alpha + \beta )x + \alpha \beta \\ {x}^{2} - 8x + 10$

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