Multiple choice

In the given question, two equations numbered I and II are given. You have to solve both the equations and mark the appropriate answer- I. x2 + √5x - 30 = 0 II. y2 - 5√6y + 36 = 0

  1. x > y

  2. x < y

  3. x ≥ y

  4. x ≤ y

  5. x = y or relationship between x and y cannot be established.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Solve Equation I: x² + √5x - 30 = 0. Using quadratic formula with a=1, b=√5, c=-30: discriminant = 5 + 120 = 125. Roots: x = (-√5 ± √125)/2 = (-√5 ± 5√5)/2. Positive root: x = 2√5. Solve Equation II: y² - 5√6y + 36 = 0. Discriminant = 150 - 144 = 6. Roots: y = (5√6 ± √6)/2 = 3√6, 2√6. Comparing positive roots: 2√5 ≈ 4.47, both y values (≈7.35, ≈4.90) exceed x. Thus x < y is correct.

Keep practicing — related questions