Multiple choice

In the following question, the given equations are given, after solving the equation, find the correct answer. I. (9x^2 + 51x + 52 = 0) II. (4y^2 + 48y + 143 = 0)

  1. $x > y$
  2. $x < y$
  3. $x ≥ y$
  4. $x ≤ y$

  5. x = y or relation can’t be established
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A Correct answer
Explanation

Solving 9x² + 51x + 52 = 0 gives x = (-51 ± √(2601 - 1872))/18 = (-51 ± 27)/18, so x = -4/3 or -13/3. Solving 4y² + 48y + 143 = 0 gives y = (-48 ± √(2304 - 2288))/8 = (-48 ± 4)/8, so y = -5.5 or -5.5. Both x values (-1.33, -4.33) are greater than y = -5.5. Therefore x > y.

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