Multiple choice

I) 2x2 + 28x + 98 = 0 II) y2 + 20y + 91 = 0 In the following questions, two equations I and II are given. You have to solve both equations and give answer as, a) If x > y b) If x ≥ y c) If x < y d) If x ≤ y e) If x = y or the relation cannot be established.

  1. A

  2. B

  3. C

  4. D

  5. E
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Equation I factors as (x + 7)^2 = 0, so x = -7. Equation II has roots -7 and -13, so every possible value of y is less than or equal to x. Therefore, x >= y.

AI explanation

Dividing the first equation by 2 gives x^2 + 14x + 49 = 0, which factors into (x + 7)^2 = 0 to reveal x = -7. Factoring the second equation y^2 + 20y + 91 = 0 gives (y + 7)(y + 13) = 0, revealing y = -7 or y = -13. Since -7 is greater than or equal to both -7 and -13, x >= y.

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