In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.
I. 2x^{2} – 9x – 5 = 0
II. 4y^{2} + 4y + 1 = 0
Calculation:
I. 2x^{2} – 9x – 5
⇒ 2x^{2} – 10x + 1x – 5 = 0
⇒ 2x(x – 5) +1(x – 5) = 0
⇒ (2x + 1) (x – 5) = 0
⇒ x = -1/2 , 5
II. 4y^{2} + 4y + 1 = 0
⇒ 4y^{2} + 2y + 2y + 1 = 0
⇒ 2y(2y + 1) + 1(2y + 1) = 0
⇒ (2y + 1) (2y + 1) = 0
⇒ y = -1/2, -1/2
Comparison between X and Y (via tabulation):
Value of x |
Value of y |
Relation |
-1/2 |
-1/2 |
x = y |
-1/2 |
-1/2 |
x = y |
5 |
-1/2 |
x > y |
5 |
-1/2 |
x > y |
∴ x ≥ y