Multiple choice

In each of the following questions, two equations are given. You have to solve them and state the correct relationship-(i)\ (x^2 - 4x + 3.91 = 0) (ii)\ (y^2 - 2y - 4.76 = 0)

  1. If x > y

  2. If x ≥ y

  3. If x < y

  4. If x ≤ y

  5. If x=y or relationship can not be established

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

For equation (i): x² - 4x + 3.91 = 0. Using quadratic formula: x = [4 ± √(16 - 15.64)]/2 = [4 ± √0.36]/2 = [4 ± 0.6]/2. So x = 2.3 or x = 1.7. For equation (ii): y² - 2y - 4.76 = 0. Using formula: y = [2 ± √(4 + 19.04)]/2 = [2 ± √23.04]/2 = [2 ± 4.8]/2. So y = 3.4 or y = -1.4. Since x values (1.7, 2.3) and y values (-1.4, 3.4) overlap without clear inequality, we cannot establish x > y, x < y, or x = y definitively.