In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.
I. 3x^{2} – 7x + 2 = 0
II. 2y^{2} – 11y + 15 = 0
I. 3x2 – 7x + 2 = 0
⇒ 3x^{2} – 6x – x + 2 = 0
⇒ 3x (x – 2) – 1 (x – 2) = 0
⇒ (x – 2) (3x – 1) = 0
⇒ x = 2 or 1/3
II. 2y2 – 11y + 15 = 0
⇒ 2y^{2} – 6y – 5y + 15 = 0
⇒ 2y (y – 3) – 5 (y – 3) = 0
⇒ (y – 3) (2y – 5) = 0
⇒ y = 3 or 5/2
Comparison between x and y (via Tabulation):
Value of x |
Value of y |
Relation |
2 |
3 |
x < y |
2 |
5/2 |
x < y |
1/3 |
3 |
x < y |
1/3 |
5/2 |
x < y |