Question
I. 3p² + 13p + 14 = 0 II. 8q² + 26q + 21 =
0 In each of these questions two equations numbered I and II are given. You have to solve both the equations and give answer, if –Solution
I. 3p² + 13p + 14 = 0 3p² + 7p + 6p + 14 = 0 ⟹ p (3p + 7) + 2 (3p + 7) = 0 ⟹ (3p + 7) (p + 2)= 0 ⟹ p = -7/3, -2 II. 8q² + 26q + 21 = 0 ⟹8q² + 14q + 12q + 21 =0 ⟹2q(4q + 7) + 3(4q + 7)= 0 ⟹ (4q + 7) (2q + 3)= 0 ⟹ q = -7/4, - 3/2 ∴p < q.
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