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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. 16x2 + 20x + 6 = 0
    Ⅱ.10y2 + 38y + 24 = 0
    1. 1
    2. 2
    3. 3
    4. 4
    5. 5
Correct Option: B

As per the given above equations , we can say that
Ⅰ. 16x2 + 20x + 6 = 0
⇒ 16x2 + 12x + 8x + 6 = 0
⇒ 4x(4x + 3) + 2(4x + 3) = 0
⇒ (4x + 2)(4x + 3) = 0

⇒ x = -
3
, -
2
4
4
Ⅱ.10y2 + 38y + 24 = 0
⇒ 10y2 + 30y + 8y + 24 = 0
⇒ 10y(y + 3) + 8(y + 3) = 0
⇒ (10y + 8)(y + 3) = 0
⇒ y = - 3, -
4
5
∴ x > y
From above both equations it is clear that correct answer is x > y .



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