Multiple choice

Directions: In the following question, two equations are given. You have to solve both the equations and choose the correct relationship accordingly. I. 2x2 - 53x + 351 = 0 II. 2y2 - 51y + 325 = 0

  1. x > y

  2. x ≥ y

  3. x < y

  4. x ≤ y

  5. x = y, or no relationship can be established
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Solving 2x^2 - 53x + 351 = 0 gives roots 13 and 13.5. Solving 2y^2 - 51y + 325 = 0 gives roots 12.5 and 13. Comparing the sets, x >= y is the correct relationship.

AI explanation

Factoring equation one, two times x squared minus fifty three x plus three hundred fifty one equals zero gives (2x minus twenty seven) times (x minus thirteen) equals zero, so x equals 13.5 or 13. Factoring equation two, two times y squared minus fifty one y plus three hundred twenty five equals zero gives (2y minus twenty five) times (y minus thirteen) equals zero, so y equals 12.5 or 13. Since both values of x are greater than or equal to both values of y, x is greater than or equal to y.

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