If α and β are the roots of equation x2 - px + q = 0, show that α + 1/β is a root of equation qx2 - p(1 + q)x + (1+ q)2 = 0
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If α and β are the roots of equation x2 - px + q = 0, show that α + 1/β is a root of equation qx2 - p(1 + q)x + (1+ q)2 = 0
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