In the following question two equations are given. You have to solve these equations and determine relation between x and y.
I. x2 – 18x – 115 = 0
II. y2 + 22y + 112 = 0I. x2 – 18x – 115 = 0
⇒ x2 – 23x + 5x – 115 = 0
⇒ x(x – 23) + 5(x – 23) = 0
⇒ (x – 23)(x + 5) = 0
Then, x = + 23 or x = - 5
II. y2 + 22y + 112 = 0
⇒ y2 + 14y + 8y + 112 = 0
⇒ y(y + 14) + 8(y + 14) = 0
⇒ (y + 14)(y + 8) = 0
Then, y = - 14 or y = - 8
So, when x = + 23, x > y for y = - 14 and x > y for y = - 8
And when x = - 5, x > y for y = - 14 and x > y for y = - 8
∴ So, we can clearly observe that x > y.