Multiple choice

In each question two equations numbered I and II are given, you have to solve both the equations and choose the correct answer.\newline I. (x^2 - x - 72 = 0)\newline II. (y^2 + y - 56 = 0)

  1. $\(x > y\)$
  2. $\(x < y\)$
  3. $\(x \le y\)$
  4. $\(x \ge y\)$
  5. $\(x = y\) or the relationship cannot be established$
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Solving equation I: x² - x - 72 = 0 gives (x - 9)(x + 8) = 0, so x = 9 or x = -8. Solving equation II: y² + y - 56 = 0 gives (y + 8)(y - 7) = 0, so y = -8 or y = 7. Comparing values: x = 9 > y = -8, x = 9 > y = 7, x = 9 > y = -8, x = -8 = y = -8, x = -8 < y = 7. Since x is sometimes greater than, sometimes equal to, and sometimes less than y, the relationship cannot be established.

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