Respuesta :

Space

Answer:

(x - 1)² + 16

Step-by-step explanation:

  • x² - 2x + 17 = 0

Subtract 17 from both sides of the equation.

  • x² - 2x = -17

Use the formula (b/2)² to see which number you have to add to both sides.

  • (-2/2)² = 1

Add 1 to both sides of the equation.

  • x² - 2x + 1 = -17 + 1

Factor the left side of the equation into a perfect square.

  • (x - 1)² = -16

Add 16 to both sides of the equation.

  • (x - 1)² + 16

(x - 1)² + 16 is the equation in standard form (x² - 2x + 17) rewritten by completing the square.

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