Question

31. Given that 2 is a root of the equation
3x2 - P(x + 1) = 0 and that the equation
px? - qx + 9 = 0 has equal roots, find the values
of p and q.
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Answer 1

P(x) = 3x² - p(x + 1) P(2) = 0 12 - 3p = 0 so, p = 4 px² - qx + 9 = 0 has equal roots. D = 0 q² - 36p = 0 q² - 144 = 0 so, q² = 144 so, q = ± 12