How do I solve [tex]x^2 - 8x + 16 = 25[/tex] using perfect factoring patterns?

x 2 − 8 x + 16 = 25 ( x − 4 ) 2 = 5 2 x − 4 = 5 ∨ x − 4 = − 5 x = 5 + 4 x = − 5 + 4 x = 9 x = − 1

Answered by kate200468 | 2024-06-10

To solve x 2 − 8 x + 16 = 25 using perfect square factoring, we first rearrange the equation to x 2 − 8 x − 9 = 0 . Then, we factor it as a difference of squares, leading to the solutions x = 9 and x = − 1 .
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Answered by kate200468 | 2024-12-23