Multiple choice

Directions: In the following question, you have to compare Quantity I and Quantity II and then determine which of the following options describes the comparison. 1. 18x2 + 18x + 4 = 0 2. 12y2 + 29y + 14 = 0 Quantity I = x Quantity II = y

  1. Quantity I > Quantity II

  2. Quantity I < Quantity II

  3. Quantity I ≥ Quantity II

  4. Quantity I ≤ Quantity II

  5. Quantity I = Quantity II or No relation
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Solving 18x^2 + 18x + 4 = 0 gives 9x^2 + 9x + 2 = 0, so (3x+1)(3x+2) = 0, x = -1/3, -2/3. Solving 12y^2 + 29y + 14 = 0 gives (3y+2)(4y+7) = 0, y = -2/3, -7/4. Comparing values, x >= y.

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