Question

plzz answer this plzz plzz​

Answer 1

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$given \: \\ one \: root = \sqrt{3} + i \sqrt{2} \\ \\ so \\ another = \sqrt{3} - i \sqrt{2} \\ \\ sum \: of \: roots \\ = \sqrt{3} + i \sqrt{2} + \sqrt{3} - i \sqrt{2} \\ = 2 \sqrt{3} \\ \\ and \: product \: of \: roots \: is \: \\ =( \sqrt{3} + i \sqrt{2} )( \sqrt{3} - i \sqrt{2} ) \\ =( { \sqrt{3} })^{2} - ({i \sqrt{2} })^{2} \\ = 3 - ( - 1) \times 2 \\ = 3 + 2 \\ = 5 \\ \\ so \: required \: equation \\ \\ {x}^{2} -( sum) \: x + product = 0 \\ \\ = > {x}^{2} - 2 \sqrt{3} x + 5 = 0$

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