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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

  1. Ⅰ. 17x2 + 48x = 9
    Ⅱ.13y2 = 32y –12
    1. 1
    2. 2
    3. 3
    4. 4
    5. 5
Correct Option: A

From the given above equations , we have
From equation Ⅰ.
17x2 + 48x − 9 = 0
⇒ 17x2 + 51x − 3x − 9 = 0
⇒ 17x(x + 3) − 3(x + 3) = 0
⇒ (17x − 3)(x + 3) = 0

⇒ x = - 3,
3
17

From equation Ⅱ.
13y2 − 32y + 12 = 0
⇒ 13y2 − 26y − 6y + 12 = 0
⇒ 13y(y − 2) − 6(y − 2) = 0
⇒ (13y − 6)(y − 2) = 0
⇒ y = 2,
6
13



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