Question

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

I. 6x² – 19x + 14 = 0

II. y² + 14y + 48 = 0

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

Answer 1

Correct Answer - Option 1 : x > y
Calculation:

I. 6x² – 19x + 14 = 0

⇒ 6x² – 12x – 7x + 14 = 0

⇒ 6x(x – 2) – 7(x – 2) = 0

⇒ (x – 2)(6x – 7) = 0

⇒ x = 2, 7/6

II. y² + 14y + 48 = 0

⇒ y² + 6y + 8y + 48 = 0

⇒ y(y + 6) + 8(y + 6) = 0

⇒ (y + 6)(y + 8) = 0

⇒ y = – 6, – 8

Value of x	Value of y	Relation
2	– 6	x > y
2	– 6	x > y
7/6	– 8	x > y
7/6	– 8	x > y

 

∴ The relation between x and y is, x > y