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

I. x2 + 14x -147 = 0

II. 6y2 – y – 5 = 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.

1 Answer

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Best answer
Correct Answer - Option 5 : x = y or the relationship between x and y cannot be established.

I. x2 + 14x - 147 = 0

⇒  x2 + 21x – 7x - 147 = 0

⇒ (x + 21)(x - 7) = 0

⇒ x = -21, 7

II. 6y2 - y - 5 = 0

⇒ 6y2 - 6y + 5y - 5 = 0

⇒ (6y + 5)(y - 1) = 0

⇒ y = -5/6, 1

Value of x

Value of y

  Relation

-21

-5/6

 x < y

-21

1

 x < y

7

-5/6

 x > y

7

1

 x > y

Hence, x > y and x < y so the relationship between x and y cannot be established.

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