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Could someone please help me with the question attached? many thanks Recall that if the manic quadratic equation :52 + 3:: + r = G

Could someone please help me with the question attached? many thanks

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Recall that if the manic quadratic equation :52 + 3:: + r = G has roots {or zeroes} \"'1 and W2, then we can write 22 +sz+ r = [zw1}(zw2). By oompan' ng the coefcients of 2: on both sides. it follows that \"'th = | d- w1+w2 = |. So: I] The sum of the roots ofz2 + It]: +12 = 0 ial Number |, while the product ofthe I'DDtS is I Number |. II) The monic quadratic equation. in z, with complex conjugate roots 4 + 1' and 4 II must be {1' = | Q g. III] The monic quadratic uatioanz, with complex conjugate roots 5 + 41' and 64tmuctbe=| g

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