Direction: Following question contains two equations as I and II. You have to solve both equations and determine the relationship between them and give answer as,
Q)
I: x2 + 13x + 40 = 0 II: y2+ 9y + 20 = 0
A. x < y
B. x > y
C. x ≤ y
D. x ≥ y
E. Relationship between x and y cannot be determined
Sol:
From I =>x2 + 5x + 8x + 40 = 0
=>x(x + 5) + 8(x + 5) = 0
=> (x + 8) (x + 5) = 0
=> x = -8, -5
From II =>y2 + 4y + 5y + 20 = 0
=>y(y + 4) + 5(y + 4) = 0
=> (y + 5) (y + 4) = 0
=> y = -4, -5
Hence, x ≤ y
