Multiple choice

Directions: In the question, two equations numbered I and II are given. You have to find the relationship between them by solving both the equations and then mark the answer accordingly. I. 18x2 + 21x + 3 = 0 II. 45y2 + 24y + 3 = 0

  1. x > y

  2. x < y

  3. x = y or no relation can be established

  4. x ≥ y

  5. x ≤ y
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Equation I: 18x^2 + 21x + 3 = 0 -> 6x^2 + 7x + 1 = 0 -> (6x+1)(x+1) = 0. Roots are -1/6, -1. Equation II: 45y^2 + 24y + 3 = 0 -> 15y^2 + 8y + 1 = 0 -> (5y+1)(3y+1) = 0. Roots are -1/5, -1/3. Comparing the sets {-1, -0.166} and {-0.333, -0.2}, no consistent relationship exists.

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