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: 5x2 – 18x + 9 = 0
II: 4y2 + 9y – 9 = 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 =>5×2 – 18x + 9 = 0
5×2 – 15x – 3x + 9 = 0
5x(x – 3) – 3(x – 3) = 0
=> (5x – 3) (x – 3) = 0
=> x = 3, 3/5
From II =>4y2 + 9y – 9 = 0
4y2 + 12y – 3y – 9 = 0
4y(y + 3) – 3(y + 3) = 0
=> (y + 3) (4y – 3) = 0
=> y = -3, 3/4
Hence, relationship between x and y cannot be determined
