Question

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

I. x² – 15x + 56 = 0

II. y² + 17y + 72 = 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

From equation I) we get,

 x² – 15x + 56

⇒  x² – 7x – 8x + 56

⇒ x (x - 7) – 8(x -7)

⇒ (x - 7)(x - 8)

x = 7, 8

From equation II) we get,

y² + 17y + 72

⇒ y² + 8y + 9Y + 72

⇒ y (y + 8) + 9(y + 8)

⇒ (y + 8) (y + 9)

∴ y = -8, -9

Comparison between x and y (via Tabulation):

Value of x	Value of y	Relation
7	-8	x > y
7	-9	x > y
8	-8	x > y
8	-9	x > y

∴ x > y