Home » Aptitude » Quadratic Equation » Question

Direction: In each of these questions, two equations are given. You have to solve these equations and find out the values of x and y and Give answer
( 1 ) if x < y
( 2 ) if x > y
( 3 ) if x ≤ y
( 4 ) if x ≥ y
( 5 ) if x = y

Ⅰ. 18x² + 18x + 4 = 0
Ⅱ. 12y² + 29y + l4 = 0

1. 1
2. 2
3. 3
4. 4
5. 5

Correct Option: D

As we can say that ,
From equation Ⅰ. 18x² + 18x + 4 = 0
⇒ 18x² + 12x + 6x + 4 = 0
⇒ 6x(3x + 2) + 2(3x + 2) = 0
⇒ (6x + 2)(3x + 2) = 0

⇒ x = -	1	, -	2
	3		3

From equation Ⅱ. 12y² + 29y + l4 = 0
⇒ 12y² + 21y + 8y + 14 = 0
⇒ 3y(4y + 7) + 2(4y + 7) = 0
⇒ (3y + 2)(4y + 7) = 6

⇒ y = -	2	, -	7
	3		4

From above equations we can say that x ≥ y is correct answer .