Question

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

I. 3x² – 10x + 7 = 0

II. y² + 5y + 6 = 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 esta

Answer 1

Correct Answer - Option 1 : x > y

Given: 

I. 3x2 – 10x + 7 = 0

II. y2 + 5y + 6 = 0

Concept used:

Using quadratic equation.

Calculation:

From I,

3x² – 10x + 7 = 0

⇒  3x² – 3x – 7x + 7 = 0

⇒ (3x - 7)(x - 1) = 0

⇒ x = 7/3, 1

From II,

y² + 5y + 6 = 0

⇒ y² + 3y + 2y + 6 = 0

⇒ (y + 2)(y + 3) = 0

⇒ y = -2, -3

Comparison between x and y (via Tabulation):

Value of x	Value of y	Relation
7/3	-2	x > y
7/3	-2	x > y
1	-3	x > y
1	-3	x > y

 

∴ x > y