Multiple choice

There are two quantities provided in the following questions. You have to find out the values of the quantities and compare them according to the given codes as follows:-\nQuantity I: (7x^2 - 34x - 5 = 0) \nQuantity II: (2y^2 - 3y - 14 = 0)

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity I < Quantity II

  4. Quantity I ≤ Quantity II

  5. Quantity I = Quantity II or the relation cannot be established

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

Solve both quadratic equations using the quadratic formula. For Quantity I: 7x² - 34x - 5 = 0 gives x = 5 or x = -1/7. For Quantity II: 2y² - 3y - 14 = 0 gives y = 3.5 or y = -2. When x = 5, x > y (both values). When x = -1/7, x < y (both values). Since the relationship varies, no consistent comparison exists.