Question
I. 25p + 2(2p2 β 1) = 8(p + 5) II.
8q2 + 35q β 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, 25p + 2(2p2 β 1) = 8(p + 5) Or, 25p + 4p2 β 2 = 8p + 40 Or, 4p2 + 17p β 42 = 0 Or, 4p2 + 24p β 7p β 42 = 0 Or, 4p(p + 6) β 7(p + 6) = 0 Or, (4p β 7)(p + 6) = 0 Or, p = (7/4) or -6 From II: 8q2 + 35q β 78 = 0 Or, 8q2 + 48q β 13q β 78 = 0 Or, 8q(q + 6) β 13(q + 6) = 0 Or, (8q β 13)(q + 6) = 0 Or, q = (13/8) or -6 So, no relation can be established between βpβ and βqβ.
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