In the following question two equations are given in variables x and y. You have to solve these equations and determine relation between x… — Answer & Discussion

In the following question two equations are given in variables x and y. You have to solve these equations and determine relation between x and y.
I. x² + 2x - 195 = 0
II. y² + 30y + 225 = 0

Ax > y
Bx < y
Cx ≥ y
Dx ≤ y

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Discussion 1

CCommunity03 Jul 2019

I. x2 + 2x – 195 = 0

⇒ x2 + 15x – 13x – 195 = 0

⇒ x (x + 15) – 13 (x + 15) = 0

⇒ (x – 13) (x + 15) = 0

Then, x = +13 or x = -15

II. y2 + 30y + 225 = 0

⇒ y2 + 15y + 15y + 225 = 0

⇒ y (y + 15) + 15 (y + 15) = 0

⇒ (y + 15)(y + 15) = 0

Then, y = -15

So, when x = +13, x > y for y = -15

And when x = -15, x = y for y = -15

∴ So, we can observe that x ≥ y.