1.

In the given questions, two equations numbered l and II are given. You have to solve both the equations and mark the appropriate answer.I. x2 + 6x + 5 = 0II. 8y2 - 22y - 21 = 01. x > y2. x < y3. x ≥ y4. x ≤ y5. x = y or the relationship between x and y cannot be established.

Answer» Correct Answer - Option 2 : x < y

Given: 

I. x2 + 6x + 5 = 0

II. 8y2 - 22y - 21 = 0

Concept used:

Using quadratic equation.

Calculation:

From I,

x2 + 6x + 5 = 0

⇒ x2 + 5x + x + 5 = 0

⇒ x(x + 5) + 1(x + 5) = 0

⇒ (x + 5)(x+1) = 0

⇒ x = - 5, -1

From II,

8y2 - 22y - 21 = 0

⇒ 8y2 - 28y + 6y - 21 = 0

⇒ 4y(2y - 7) + 3(2y - 7) = 0

⇒ (2y - 7)(4y + 3) = 0

⇒ y = 7/2, - 3/4

Comparison between x and y (via Tabulation): 

Value of x

Value of y

  Relation

-5

7/4

 x < y

-5

-3/4

 x < y

 - 1

7/4

 x < y

 - 1

-3/4

 x < y

 

∴ x < y.


Discussion

No Comment Found

Related InterviewSolutions