Multiple choice

Directions: In the following question, equations (i) and (ii) are given. You have to solve both the equations and give answer accordingly. (i) 15x2 + 17x + 4 = 0 (ii) y2 + 18y + 65 = 0

  1. x ≥ y

  2. x < y

  3. x ≤ y

  4. x > y

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

For (i) 15x^2 + 17x + 4 = 0, roots are x = -0.5, -0.66. For (ii) y^2 + 18y + 65 = 0, roots are y = -5, -13. Since all values of x are greater than all values of y, x > y.

AI explanation

Factoring equation I by splitting the middle term gives 15x^2 + 15x + 2x + 4 = 0, which simplifies to (5x + 1)(3x + 4) = 0, yielding x = -1/5 and x = -4/3. Factoring equation II gives (y + 13)(y + 5) = 0, yielding y = -13 and y = -5. Comparing the values, both -0.2 and -1.33 are greater than both -5 and -13, so x > y.

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