Multiple choice

Directions: In the question given below, two equations (i) and (ii) are given, you have to solve both the equations and give answer accordingly. (i) 15x2 – 14x + 3 = 0 (ii) 8y2 – 26y + 21 = 0

  1. x > y

  2. x < y

  3. x ≥ y

  4. x ≤ y

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

For 15x^2 - 14x + 3 = 0, roots are 3/5 and 1/3 (0.6, 0.33). For 8y^2 - 26y + 21 = 0, roots are 7/4 and 3/2 (1.75, 1.5). Since all y values are greater than all x values, x < y.

AI explanation

Factoring equation I gives (5x minus 1)(3x minus 3) = 0, so x = 1/5 or x = 1. Factoring equation II gives (2y minus 3)(4y minus 7) = 0, meaning y = 3/2 or y = 7/4. Since both values of x are less than both values of y, x is less than y.

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