Multiple choice

In following questions two equations (I) and (II) are given you have to solve the questions and find the values of the variables and answer the given questions according to below given pattern.\newline I. (17x^2 + 48x = 9)\newline II. (y^2 - 30y + 225 = 0)

  1. $\(x < y\)$
  2. $\(x \le y\)$
  3. $\(x > y\)$
  4. $\(x \ge y\)$

  5. x = y or Relation cannot be established
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A Correct answer
Explanation

For equation I: 17x² + 48x - 9 = 0. Using quadratic formula: x = (-48 ± √(2304+612))/34 = (-48 ± √2916)/34 = (-48 ± 54)/34. So x = 6/34 ≈ 0.176 or x = -102/34 = -3. For equation II: y² - 30y + 225 = 0. This is (y-15)² = 0 (recognizing 225 = 15² and 30 = 2×15). So y = 15. Both values of x (-3, 0.176) are less than y = 15. Therefore x < y is correct.

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