Multiple choice

Directions: In each of the following question two equation are given. Solve the equation are given answer. I. 35x2 - 53x + 20 = 0 II. .56y2 - 97y + 42 = 0

  1. If x<y

  2. If x<=y

  3. If x>y

  4. If x>=y

  5. x=y or relationship between x and y cannot be established
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A Correct answer
AI explanation

For the first equation, 35x2 - 53x + 20 = 0, factoring yields (7x - 4)(5x - 5) = 0, giving roots x = 4/7 (about 0.57) and x = 1. For the second equation, 56y2 - 97y + 42 = 0, factoring yields (7y - 6)(8y - 7) = 0, giving roots y = 6/7 (about 0.86) and y = 7/8 (about 0.88). Since both values of x are smaller than both values of y, the relationship is x < y.

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