Question

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

l. x² – 14x + 40 = 0

ll. y² – 19y – 120 = 0

1. x > y
2. x < y
3. x ≥ y
4. x ≤ y
5. x = y or relation between them cannot be established

Answer 1

Correct Answer - Option 5 : x = y or relation between them cannot be established

Calculation:

⇒ x² – 14x + 40 = 0

⇒ x² – 10x – 4x + 40 = 0

⇒ x(x - 10) – 4 (x - 10) = 0

⇒ (x - 4) (x - 10) = 0

⇒ x = 4, 10

⇒ y² – 19y – 120 = 0

⇒ y² – 24y + 5y – 120 = 0

⇒ y (y – 24) + 5 (y – 24) = 0

⇒ (y + 5) (y - 24) = 0

⇒ y = -5, 24

Value of x	Value of y	Relation between x and y
4	-5	x > y
4	24	x < y
10	-5	x > y
10	24	x < y

∴ Relation between x and y cannot be determined.