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. (5x^2 - 87x + 378 = 0)\newline II. (y^2 - 5y + 6 = 0)

  1. x < y

  2. x ≤ y

  3. x > y

  4. x ≥ y

  5. x = y or Relation cannot be established
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

For equation I: 5x² - 87x + 378 = 0. Using quadratic formula: x = (87 ± √(7569-7560))/10 = (87 ± 3)/10. So x = 9 or x = 8.4. For equation II: y² - 5y + 6 = 0. Factoring: (y-2)(y-3) = 0. So y = 2 or y = 3. Both values of x (8.4, 9) are greater than both values of y (2, 3). Therefore x > y is correct.

Keep practicing — related questions