Multiple choice

Solve the following equations and determine the relationship between (x) and (y): (I) \ 3x^2 + 29x + 70 = 0 \ (II) \ 2y^2 + 27y + 91 = 0

  1. x > y

  2. x ≥ y

  3. x < y

  4. x ≤ y

  5. If x = y or no relationship can be established between x and y
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

For equation (I): 3x² + 29x + 70 = 0. Factor: (3x + 14)(x + 5) = 0, so x = -14/3 or x = -5. For equation (II): 2y² + 27y + 91 = 0. Factor: (2y + 13)(y + 7) = 0, so y = -13/2 = -6.5 or y = -7. Comparing values: when x = -14/3 ≈ -4.67 and y = -7, then x > y. When x = -5 and y = -7, then x > y. Both cases give x > y, so option A is correct.

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