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If alpha,beta are roots of x^(2)-px+q=0, find the value of (i) alpha^(2)+beta^(2) (ii) alpha^(3)+beta^(3) (iii) alpha-beta, (iv) alpha^(4)+beta^(4). |
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Answer» (ii) `p^(3)-3pq`. (iii) `-sqrt(p^(2)-4Q)`, if `ALPHA lt BETA`. (iv) `p^(4)-4p^(2)q+2q^(2)`. |
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