In the following question, one or two equation(s) is/are given. On their basis you have to determine the relation between x and y and then give answer I. 3x2 + 7x = 6 II. 6(2y2 + 1) = 17y

In the following question, one or two equation(s) is/are given. On their basis you have to determine the relation between x and y and then give answer

I. 3x² + 7x = 6

II. 6(2y² + 1) = 17y

A x < y

B x > y

C x ≤ y

D x ≥ y

E x = y

Solution

Correct Answer: Option C

3x² + 7x = 6

⇒ 3x² + 7x - 6 = 0

⇒ 3x² + 9x - 2x - 6 = 0

⇒ 3x (x + 3) - 2 (x + 3) = 0

⇒ (3x - 2) (x + 3) = 0

⇒ 3x - 2 = 0 or x + 3 = 0

⇒ x= 2/3 or -3

Equation 2:

6(2y² + 1) = 17y

⇒ 12y² + 6 = 17y

⇒ 12y² – 17y + 6 = 0

⇒12y² – 9y – 8y + 6 = 0

⇒ 3y (4y- 3) – 2 (4y - 3) = 0

⇒ (3y- 2) (4y - 3) = 0

⇒ 3y – 2 = 0 and 4y - 3 = 0

⇒ y = 2/3 and 3/4

Comparing values of x and y

x ≤ y

Solution

Practice More Questions on Our App!

Related Topics