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Completing The Square

Question 22 • AZ-Common Core Algebra II A

Complete the square to write 16t² - 96t + 48 = 0 as .

Answer
A
(t + 9)² = -3
B
(t - 3)² = 6
C
(t - 6)² = 12

Explanation

Divide the equation by 16 to get t² − 6t + 3 = 0, so t² − 6t = −3. To complete the square, add (−6 ÷ 2)² = 9 to both sides: (t − 3)² = 6. This matches choice B, (t − 3)² = 6.

AI-written and checked against the verified answer.

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