In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.
I. x^{2} – 25x + 150 = 0
II. y^{2} – 18y + 81 = 0
I. x^{2} – 25x + 150 = 0
⇒ x^{2} – 10x – 15x + 150 = 0
⇒ x(x – 10) – 15 (x – 10) = 0
⇒ (x – 10) (x – 15) = 0
⇒ x = 10, 15
II. y^{2} – 18y + 81 = 0
⇒ y^{2} – 9y – 9y + 81 = 0
⇒ y (y – 9) – 9 (y – 9) = 0
⇒ (y – 9) (y – 9) = 0
⇒ y = 9, 9
Value of x |
Value of y |
Relation |
10 |
9 |
x > y |
10 |
9 |
x > y |
15 |
9 |
x > y |
15 |
9 |
x > y |
Hence x > y