• Numerical Ability - Quadratic Equations
Question

2x2 - (4 +  √13)x + 2 √13 = 0

10y2 - (18 + 5 √13)y + 9 √13 = 0

  • A) if x > y
  • B) if x < y
  • C) if x ≥ y
  • D) if x ≤ y 
  • E) x = y or no realtion can be established
Solution

(c); 2x2 - 4x -  √13x + 2 √13 = 0

       2x (x - 2) √13 (x - 2) = 0

       x = 2, √13/2

       10y2 - 18y - 5 √13y + 9 √13 = 0

       2y(5y - 9) -  √13(5y - 9) = 0

       y = 9/5,  √13/2

       x ≥ y

(c); 2x2 - 4x -  √13x + 2 √13 = 0

       2x (x - 2) √13 (x - 2) = 0

       x = 2, √13/2

       10y2 - 18y - 5 √13y + 9 √13 = 0

       2y(5y - 9) -  √13(5y - 9) = 0

       y = 9/5,  √13/2

       x ≥ y
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