Directions: In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer
I.2x2 + 9x - 180 = 0
II. 3y2 + 7y - 110 = 0I. 2x2 + 9x - 180 = 0
⇒ 2x2 + 24x - 15x - 180 = 0
⇒ 2x (x + 12) - 15(x + 12) = 0
⇒ (x + 12) (2x - 15) = 0
⇒ x = -12 or 15/2
II. 3y2 + 7y - 110 = 0
⇒ 3y2 + 22y - 15y - 110 = 0
⇒ y (3y + 22) -5(3y + 22) = 0
⇒ (3y + 22) (y - 5) = 0
⇒ y = - 22/3 or 5
When x = -12, x < y for y = -22/3 and x < y for y = 5.
And when x = 15/2, x > y for y = -22/3 and x > y for y = 5
∴ No relation can be established between x and y