Respuesta :

Answer:

(x - 8)² = 38

Step-by-step explanation:

Given

x² - 16x + 26 = 0 ( subtract 26 from both sides )

x² - 16x = - 26

Using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 8)x + 64 = - 26 + 64

(x - 8)² = 38 ← as required

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