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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. 8x2 + 6x = 5
    Ⅱ. 12y2 − 22y + 8 = 0
    1. 1
    2. 2
    3. 3
    4. 4
    5. 5
Correct Option: C

According to question , we have
From equation Ⅰ. 8x2 + 6x - 5 = 0
⇒ 8x2 + 10x − 4x − 5 = 0
⇒ 2x(4x + 5) − 1(4x + 5) = 0
⇒ (2x − 1)(4x + 5) = 0

⇒ x =
1
, -
5
2
4
From equation Ⅱ. 12y2 − 22y + 8 = 0
⇒ 12y2 − 16y − 6y + 8 = 0
⇒ 4y(3y − 4) − 2(3y − 4) = 0
⇒ (4y − 2)(3y − 4) = 0
⇒ y =
1
,
4
2
3
Hence ,required answer will be x ≤ y .



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