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Quadratic Equations Quiz For IBPS PO 2017

Questions (1-10): You have to solve equation I and II ,Give answer
1)If X>Y
2)If X<Y
3)If X≥ Y
4)If X≤ Y
5)If X=Y or cannot be established

 

Solutions

  1. Solution: 1)X>Y
    Explanation :
    (x-4)(4x-3) = 0
    x=4,3/4
    (y+2)(3y+2) = 0
    y=-2, -2/3
    X>Y
  2. Solution: 3)X≥ Y
    Explanation :
    (4x-1)(5x-3) = 0
    x=1/4, 3/5
    (4y-1)(5y-1) =0
    y= 1/4, 1/5
    X≥ Y
  3. Solution: 4)X≤ Y
    Explanation :
    (x+2)(x+3) = 0
    x=-2,-3
    (y+1)(y+2) = 0
    y=-1,-2
    X≤Y
  4. Solution: 5)X=Y or cannot be established
    Explanation :
    (x-4)(x+18) = 0
    x=4,-18
    (y+3)(3y+5) = 0
    y= -3, -5/3
  5. Solution: 1)X>Y
    Explanation :
    (5x+2)(5x+3) = 0
    x= -2/5, -3/5
    (5y+10)(y+2) = 0
    y= -2, -10/5 = -2, -2
    X>Y
  6. Solution: 2)X<Y
    Explanation :
    y = 1705 – 1689 = 16
    (x + y)^2 = 900
    x + y = 30
    x = 30 – 16 = 14
    16>14
    x < y
  7. Solution: 5)X=Y or cannot be established
    Explanation :
    9x – 3x = 64.55 + 19.45
    6x = 84
    x = 14
    √(y *155) = 7 + 6 =13
    y + 155 = 169
    y = 169 – 155 = 14
    X=Y
  8. Solution: 4)X≤ Y
    Explanation :
    2X^2 + 19X + 44= 0
    (x + 4) (2x + 11) = 0
    x= -4 or -11/2
    2Y^2 + 3Y – 20 = 0
    (y + 4) (2y – 5) = 0
    Y = -4 or 5/2
    X≤ Y
  9. Solution: 1)X>Y
    Explanation :
    (4x+7)(x+3) = 0
    x =-7/4, -3
    (2y+9)(y+7) = 0
    y= -9/2, -7
    X>Y
  10. Solution: 3)X≥ Y
    Explanation :
    (4x+5)(2x+3) =0
    x=-5/4, -3/2
    (2y+5)(2xy+3) =0
    y=-5/2, -3/2
    X≥Y

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