In the following question, two equations are given. Find the correct answer after solving the equations.
I. 3x2 + 34x – 165 = 0
II. 2y2 – 27y + 81 = 0I. 3x2 + 34x – 165 = 0
⇒ 3x2 + 45x – 11x – 165 = 0
⇒ 3x(x + 15) – 11(x + 15) = 0
⇒ (3x – 11)(x + 15) = 0
⇒ x = -15 and 11/3 ---- (1)
II. 2y2 – 27y + 81 = 0
⇒ 2y2 – 18y – 9y + 81 = 0
⇒ 2y(y – 9) – 9(y – 9) = 0
⇒ (2y – 9)(y – 9) = 0
⇒ y = 9/2 and 9 ---- (2)
From (1) and (2)
∴ x < y