Multiple choice

In each of the following questions, two equations are given. You have to solve them and answer the question. (I) (x^{2} - 87x - 270 = 0) (II) (7y^{2} - 11y - 18 = 0)

  1. If x > y

  2. If x ≥ y

  3. If x < y

  4. If x ≤ y

  5. If x = y or relationship cannot be established

Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Factorizing equation (I): x² - 87x - 270 = (x - 90)(x + 3) = 0, so x = 90 or x = -3. Factorizing equation (II): 7y² - 11y - 18 = (7y + 9)(y - 2) = 0, so y = -9/7 ≈ -1.29 or y = 2. Comparing all four combinations: (x=90, y=-1.29): x > y; (x=90, y=2): x > y; (x=-3, y=-1.29): x < y; (x=-3, y=2): x < y. Since sometimes x > y and sometimes x < y, no consistent relationship exists.