# In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer. I: x2 + 6x – 247 = 0 II: y

25 views
in Algebra
closed

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

I: x2 + 6x – 247 = 0

II: y2 + 27y + 182 = 0

1.

x > y

2.

x ≤ y

3.

x = y or the relationship between x and y cannot be established.

4.

x ≥ y

5. x < y

by (60.0k points)
selected

Correct Answer - Option 3 :

x = y or the relationship between x and y cannot be established.

Calculation:

I: x2 + 6x – 247 = 0

⇒ x2 – 13x + 19x – 247 = 0

⇒ x × (x – 13) + 19× (x – 13) = 0

⇒ (x – 13) × (x + 19) = 0

⇒ x = (-19), 13

II: y2 + 27y + 182 = 0

⇒ y2 +14y + 13y + 182 = 0

⇒ y × (y + 14) + 13 × (y + 14) = 0

⇒ (y + 13) × (y + 14) = 0

⇒ y = -14, -13

Comparison between x and y (via Tabulation):

 Value of x relation Value of y -19 < -14 -19 < -13 13 > -14 13 > -13

∴ x = y or the relationship between x and y cannot be established.