Question
I. 27(p + 2) = 2p(24 β p) II. 2q2
β 25q + 78 = 0 InΒ the given questions, you will find two equations labeled as I and II. solve both equations and determine the accurate relationship between the variables 'p' and 'q'. Choose the correct option based on your analysis of the solutions.Solution
ATQ, From I: 27(p + 2) = 2p(24 β p) Or, 27p + 54 β 48p + 2p2 = 0 Or, 2p2 β 21p + 54 = 0 Or, 2p2 β 12p β 9p + 54 = 0 Or, 2p(p β 6) β 9(p β 6) = 0 Or, (2p β 9)(p β 6) = 0 Or, p = (9/2) or 6 From II: 2q2 β 25q + 78 = 0 Or, 2q2 β 12q β 13q + 78 = 0 Or, 2q(q β 6) β 13(q β 6) = 0 Or, (2q β 13)(q β 6) = 0 Or, q = (13/2) or 6 Therefore, q β₯ p
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