Multiple choice

Directions: In the following question, two equations (i) and (ii) are given. You have to solve both the equations and mark the correct option accordingly. (i) x2 + 2x - 63 = 0 (ii) y2 + 27y + 182 = 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
A Correct answer
Explanation

Solving (i) x^2 + 2x - 63 = 0 gives (x+9)(x-7)=0, so x = 7 or -9. Solving (ii) y^2 + 27y + 182 = 0 gives (y+13)(y+14)=0, so y = -13 or -14. Since both values of x are greater than both values of y, x > y.

AI explanation

Factor the first equation to get (x + 9)(x - 7) equals 0, so x is -9 or 7. Factor the second equation to get (y + 14)(y + 13) equals 0, so y is -14 or -13. Since both values of x are strictly greater than both values of y, x is greater than y.

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