Question

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

I. 5x² + 26x + 33 = 0

II. y² + 18y + 65 = 0

1. x > y
2. x < y
3. x ≥ y
4. x ≤ y
5. x = y or relation between x and y can not be established.

Answer 1

Correct Answer - Option 1 : x > y

Given:

I. 5x2 + 26x + 33 = 0

II. y2 + 18y + 65 = 0

Calculation:

From I,

5x2 + 26x + 33 = 0

⇒ 5x2 + 15x + 11x + 33 = 0

⇒ 5x(x + 3) + 11(x + 3) = 0

⇒ (x + 3)(5x + 11) = 0

Taking,

⇒ (x + 3) = 0 or (5x + 11) = 0

⇒ x = -3 or (-11/5)

From II,

y2 + 18y + 65 = 0

⇒ y2 + 13y + 5y + 65 = 0

⇒ y(y + 13) + 5(y + 13) = 0

⇒ (y + 13)(y + 5) = 0

Taking,

⇒ (y + 13) = 0 or (y + 5) = 0

⇒ y = -13 or -5

Comparison between x and y (via Tabulation):

Value of x	Value of y	Relation
-3	-13	x > y
-3	-5	x > y
-11/5	-13	x > y
-11/5	-5	x > y

 

∴ x > y.