Quants Questions : Quadratic Equations Set 7

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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

1. I. X²  + 3X + 2= 0
   II. Y² + 5Y + 6 = 0
   
   Answer

   3)If X≥ Y
   Explanation :
   (x+1)(x+2) = 0
   X = -1,-2
   (y+3)(y+2) = 0
   Y = -3,-2
   -1,-2,-2,-3
   x x  y y
   x≥y
   
   
   
2. I. 6X²  – 7X + 2 = 0
   II. 12Y² – 7Y + 1 = 0
   
   Answer

   1)If X>Y
   Explanation :
   (2x-1)(3y-2) = 0
   X =1/2,2/3
   (4y-1)(3y-1) = 0
   Y =1/4,1/3
   0.7,0.5,0.33,0.25
   x x y y => x>y
   
   
   
3. I. 8X²  – 22X – 21 = 0
   II. 4Y² + 9Y = 0
   
   Answer

   5)If X=Y or cannot be established
   Explanation :
   (2x-7)(4x+3) = 0
   X=7/3,-3/4
   Y(4y+9)=0
   Y =0,-9/4
   2.3,0,-0.75,-2.25,
   xyxy =no relation
   
   
   
4. I. 2X²  – 15X + 25 = 0
   II. 5Y² – 126Y + 25 = 0
   
   Answer

   5)If X=Y or cannot be established
   Explanation :
   (2x-5)(x-5) = 0
   X =5,5/2
   (5y-1)(y-25)
   Y=25,1/5
   25,5,2.5,0.2
   yxxy =no relation
   
   
   
5. I. 6X²  – X – 2 = 0
   II. 9Y² – 22Y + 8 = 0
   
   Answer

   5)If X=Y or cannot be established
   Explanation :
   (2x+1)(3x-2) = 0
   X = 2/3,-1/2
   (y-2)(9y-4) = 0
   Y=2,4/9
   2,0.7,0.4,-0.5
   xyxy = no relation
   
   
   
6. I. 2X²  + 17X + 36 = 0
   II. 2Y² + 9Y +9 = 0
   
   Answer

   2)If X<Y
   Explanation :
   (x+4)(2x+9) = 0
   X= -4,-9/2
   (y+3)(2y+3) = 0
   Y = -3,-3/2
   -1.5,-3,-4,-4.5
   Yyxx => x<y
   
   
   
7. I. 3X²  – 28X + 65 = 0
   II. 3Y² – 16Y + 21 = 0
   
   Answer

   1)If X>Y
   Explanation :
   (x-5)(3x-13) =0
   X=5,13/3
   (y-3)(3y-7) = 0
   Y=3,7/3
   5,4.3,3,2.3
   Xxyy => x>y
   
   
   
8. I. X²  – 7X + 12 = 0
   II. Y² – 10Y +24 = 0
   
   Answer

   4)If X≤ Y
   Explanation :
   (X-4)(X-3) =0
   X =4,3
   (Y-4)(Y-6) = 0
   Y=6,4
   6,4,4,3
   YYXX => Y≥X
   
   
   
9. I. 4X²  – 29X + 45 = 0
   II. 3Y² – 19Y + 28 = 0
   
   Answer

   5)If X=Y or cannot be established
   Explanation :
   (4X-9)(X-5) =0
   X=5,9/4
   (3Y-7)(Y-4) =0
   Y=4,7/4
   5,4,2.3,1.8
   yxxy => no relation
   
   
   
10. I. X²  = 100
    II. Y² – 20Y + 100 = 0
    
    Answer

    4)If X≤ Y
    Explanation :
    X = +10,-10
    (y-10)(y-10) =0
    Y = 10,10
    10,10,10,-10
    Yyxx = y≥x
    
    
    

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