Question
Solve the quadratic equations and determine the relation
between x and y: Equation 1: 2x² - 10x + 12 = 0 Equation 2: y² - 8y + 15 = 0Solution
From equation 1: 2x² - 10x + 12 = 0 Dividing by 2: x² - 5x + 6 = 0 Factorizing: (x - 3)(x - 2) = 0 So, x = 3 or x = 2. From equation 2: y² - 8y + 15 = 0 Factorizing: (y - 5)(y - 3) = 0 So, y = 5 or y = 3. Comparing x and y: • If x = 3 and y = 5, x < y. • If x = 2 and y = 5, x < y. • If x = 3 and y = 3, x = y. Thus, x ≤ y. Answer: D
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