Multiple choice

Directions: In the following question, equations numbered I and II are given. You have to solve both the equations and mark the answer as per the instructions. I. x2 – 48x + 567 = 0 II. y2 + 38y + 357 = 0

  1. x < y

  2. x = y or the relation cannot be established

  3. x ≥ y

  4. x > y

  5. x ≤ y
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Equation I: x^2 - 48x + 567 = 0. Roots are 21 and 27. Equation II: y^2 + 38y + 357 = 0. Roots are -17 and -21. Since all values of x (21, 27) are greater than all values of y (-17, -21), x > y.

AI explanation

Factorizing both equations, the first equation x2 - 48x + 567 = 0 becomes (x - 21)(x - 27) = 0, yielding x = 21 or x = 27. The second equation y2 + 38y + 357 = 0 becomes (y + 17)(y + 21) = 0, yielding y = -17 or y = -21. Since both positive values of x are greater than both negative values of y, x > y.

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