Question

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

I. x2 + 2x –15 = 0 

II. y² + 9y + 20 = 0

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

Answer 1

Correct Answer - Option 5 : x = y or the relationship between x and y cannot be established.

Calculation:

I. x2 + 2x –15 = 0 

⇒ x2 + 5x –3x –15 = 0

⇒ x × (x + 5) –3 × (x + 5) = 0

⇒ (x – 3) × (x + 5) = 0

⇒ x = 3 and x = –5

II. y2 + 9y + 20 = 0

⇒ y² + 5y + 4y + 20 = 0

⇒ y × (y + 5) + 4 × (y + 5) = 0

⇒ (y + 4) × (y + 5) = 0

⇒ y = –4 and y = –5

Value of x	Value of y	Relation
3	−4	x > y
−5	−5	x = y
3	−5	x > y
−5	−4	x < y

∴ x = y or the relationship between x and y cannot be established.