Question

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

I. 3x² + 16x + 13 = 0

II. y² + 9y – 36 = 0

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

Answer 1

Correct Answer - Option 5 : x = y or the relation cannot be determined

Calculation:

I. 3x2 + 16x + 13 = 0

⇒ 3x2 + 3x + 13x + 13 = 0

⇒ 3x(x +1) + 13(x +1) = 0

⇒ x = - 13/3 or x = - 1

II. y2 + 9y – 36 = 0

⇒ y2 + 12y – 3y – 36 = 0

⇒ y(y + 12) – 3(y + 12) = 0

⇒ y = - 12 or y = 3
Comparison between x and y (via Tabulation):

Value of x	Value of y	Relation
-13/3	-12	x > y
-13/3	3	x < y
-1	-12	x > y
-1	3	x < y

∴ Relation between x and y can't be established