Question

 In the given questions, two equations numbered l and II are given. You have to solve both the equations and mark the appropriate answer

I. 4x² – 72x + 224 = 0

II. y² – 19y + 60 = 0

1. x > y
2. x ≤ y
3. x = y or the relationship cannot be established.
4. x ≥ y
5. x < y

Answer 1

Correct Answer - Option 3 : x = y or the relationship cannot be established.

I. 4x² – 72x + 224 = 0

⇒ 4x² – 56x – 16x + 224 = 0

⇒ 4x(x – 14) – 16(x – 14) = 0

⇒ (x – 14)(4x – 16) = 0

⇒ x = 14 or 4

II. y² – 19y + 60 = 0

⇒ y² – 15y – 4y + 60 = 0

⇒ y(y – 15) – 4(y – 15) = 0

⇒ (y – 15)(y – 4) = 0

⇒ y = 15 or 4

Comparison between x and y (via Tabulation):

Value of x	Relation	Value of y
14	<	15
14	>	4
4	<	15
4	=	4

∴ x = y or the relationship cannot be established.