Multiple choice

Directions: In this question, two equations are given. You have to solve both the equations and mark the correct option. (i) x2 – 77x + 976 = 0 (ii) y2 + 76y + 915 = 0

  1. x > y

  2. x < y

  3. x ≥ y

  4. x ≤ y

  5. The relationship between x and y cannot be established.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

For x^2 - 77x + 976 = 0, roots are (x-61)(x-16)=0, so x=61, 16. For y^2 + 76y + 915 = 0, roots are (y+61)(y+15)=0, so y=-61, -15. Since 61 > -15 and 16 > -61, x > y.

AI explanation

By splitting the middle term, the first equation x2 - 77x + 976 = 0 becomes (x - 16)(x - 61) = 0, giving x = 16 or x = 61. The second equation y2 + 76y + 915 = 0 becomes (y + 15)(y + 61) = 0, giving y = -15 or y = -61. Both positive values of x are strictly greater than both negative values of y, establishing that x > y.

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