Direction: In each of these questions, two equations Ⅰ and Ⅱ are given. You have to solve both the equations and give answer
( 1 ) if x < y
( 2 ) if x > y
( 3 ) if x = y
( 4 ) if x ≥ y
( 5 ) if x ≤ y or no relationship can be established between x and y.
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Ⅰ. 2x2 + 3x – 20 = 0
Ⅱ. 2y2 + 19y + 44 = 0
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- 1
- 2
- 3
- 4
- 5
Correct Option: D
According to question ,
From equation Ⅰ. 2x2 + 3x– 20 = 0
⇒ 2x2 + 8x − 5x − 20 = 0
⇒ 2x(x + 4) − 5(x + 4) = 0
⇒ (2x − 5)(x + 4) = 0
∴ x = | , - 4 | |
From equation Ⅱ. 2y2 + 19y + 44 = 0
⇒ 2y2 + 11y + 8y + 44 = 0
⇒ 2y(2y + 11) + 4(2y + 11) = 0
⇒ (y + 4)(2y + 11) = 0
∴ y = - 4, - | |