Directions: In the following question, there are two quadratic equations. Study both the equations carefully and answer accordingly. I. 2x² - 53x + 351 = 0 II. 2y² - 51y + 325 = 0

For equation one, 2x squared minus 53x plus 351 equals 0, we find the product of the roots is 351 divided by 2 and the sum is 53 divided by 2. Testing factors of 702 that add to 53 gives 27 and 26, so the roots are x equals 13.5 and x equals 13. For equation two, 2y squared minus 51y plus 325 equals 0, the product of the roots is 325 divided by 2 and the sum is 51 divided by 2. Testing factors of 650 that add to 51 gives 26 and 25, so the roots are y equals 13 and y equals 12.5. Comparing the values, we have 13.5 > 13 and 13 = 13, which means x is always greater than or equal to y, establishing the relation x >= y.

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