In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.

I. x^{2} + x – 12 = 0

II. y^{2} + 2y – 15 = 0

This question was previously asked in

IBPS RRB Officer Scale - 1 August 2021 Shift 1 Memory Based Test

Option 5 : x = y or relation between x and y can not be established.

**Calculation:**

I. x^{2} + x – 12 = 0

⇒ x^{2} + 4x – 3x – 12 = 0

⇒ x(x + 4) – 3(x + 4) = 0

⇒ (x – 3) (x + 4) = 0

⇒ x = 3, -4

II. y^{2} + 2y – 15 = 0

⇒ y^{2} + 5y – 3y – 15 = 0

⇒ y(y + 5) – 3(y + 5) = 0

⇒ (y – 3) (y + 5) = 0

⇒ y = 3, -5

Comparison between X and Y (via tabulation):

**∴ Relation between x and y can not be established.**