Multiple choice

\text{In each of the following questions, two equations are given. You have to solve them and state the correct relationship-} \ \text{I.} \quad x^2 + x = 56 \ \text{II.} \quad y^2 - 17y + 72 = 0

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

  5. x=y or relationship can not be determined
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Solving x² + x - 56 = 0 gives x = -8 or x = 7 (factors: x+8 and x-7). Solving y² - 17y + 72 = 0 gives y = 8 or y = 9 (factors: y-8 and y-9). The maximum value of x is 7, and the minimum value of y is 8. Since even the largest x (7) is less than the smallest y (8), we always have x < y.

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