Question
I. 6p2 β 7p = 5p β 7p2 +
25 II. 11q2 β 63q + 90 = 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: 6p2 β 7p = 5p β 7p2 + 25 Or, 13p2 β 12p β 25 = 0 Or, 13p2 + 13p β 25p β 25 = 0 Or, 13p(p + 1) β 25(p + 1) = 0 Or, (13p β 25)(p + 1) = 0 Or, p = (25/13), -1 From II: 11q2 β 63q + 90 = 0 Or, 11q2 β 33q β 30q + 90 = 0 Or, 11q(q β 3) β 30(q β 3) = 0 Or, (11q β 30)(q β 3) = 0 Or, q = (30/11), 3 So, p < q
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