Question

Find the solution set for the open sentence with the given replacement set? w2+9=6w,{0,3,6,9}

Answer 1

We need to solve the equation: w² + 9 = 6w

⇒ w² - 6w + 9 = 0

⇒ w² - 3w - 3w + 9 = 0 (Breaking 6w such that their product is 9w²)

⇒ w × (w - 3) - 3 × (w - 3) = 0 (Extracting common factors)

⇒ (w - 3) × (w - 3) = 0

⇒ (w - 3)² = 0

⇒ w = 3

Hence, the correct answer is 3, which is the second option from the replacement set