Correct Answer - Option 5 :
No relation in x and y or x = y
Given:
I. x2 - 6x - 40 = 0
II. 2y2 - 17y + 36 = 0
Calculation:
From I
x2 - 6x - 40 = 0
⇒ x2 - 10x + 4x - 40 = 0
⇒ x(x - 10) + 4(x - 10) = 0
⇒ (x - 10)(x + 4) = 0
⇒ x = 10, -4
From II
2y2 - 17y + 36 = 0
⇒ 2y2 - 8y - 9y + 36 = 0
⇒ 2y(y - 4) - 9(y - 4) = 0
⇒ (y - 4)(2y - 9) = 0
⇒ y = 4, 9/2
Comparison between x and y (via Tabulation)
Value of x |
Value of y |
Relation between x & y |
-4 |
9/2 |
x < y |
-4 |
4 |
x < y |
10 |
9/2 |
x > y |
10 |
4 |
x > y |
∴ No relation in x and y or x = y.