I. x² - x - 12 = 0 II. y² - 4y - 12 = 0 Find the relationship between x and y.

x > y
x = y or the relation cannot be determined
x < y
x ≤ y

Correct answer: x = y or the relation cannot be determined

Solution

x=4 or x=-3. y=6 or y=-2. Pairs: (4,6)→x<y; (4,-2)→x>y; (-3,6)→x<y; (-3,-2)→x<y. Since x>y in one case and x<y in others, no definite single relationship holds. Cannot be determined.

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