Multiple choice

Directions: In the following question, two equations numbered I and II are given. You have to solve both the equations and give answer. I. 6x2 - 19x + 15 = 0 II. 5y2 - 22y + 24 = 0

  1. x < y

  2. x > y

  3. x ≤ y

  4. x ≥ y

  5. x = y or no relation can be established
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

I: 6x^2 - 19x + 15 = 0 -> (2x-3)(3x-5) = 0 -> x = 1.5, 1.66. II: 5y^2 - 22y + 24 = 0 -> (5y-12)(y-2) = 0 -> y = 2.4, 2.0. Comparing all roots, x < y.

AI explanation

Using the factorization method, six x squared minus nineteen x plus fifteen equals zero gives x equals five thirds and three halves. The second equation five y squared minus twenty two y plus twenty four equals zero gives y equals four and six fifths. Since both y values of four and one point two are strictly greater than the x values of one point six six and one point five, x is less than y.

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