savannahpaige4 savannahpaige4
  • 21-09-2020
  • Mathematics
contestada

(x-2)^2 + 7(x-2) + 12 = 0

Respuesta :

Space
Space Space
  • 21-09-2020

Answer:

x = -2, -1

Step-by-step explanation:

Step 1: Write equation

(x - 2)² + 7(x - 2) + 12 = 0

Step 2: Solve for x

Expand: x² - 4x + 4 + 7(x - 2) + 12 = 0

Distribute 7: x² - 4x + 4 + 7x - 14 + 12 = 0

Combine like terms: x² + 3x + 2 = 0

Factor: (x + 2)(x + 1) = 0

Find roots: x = -2, -1

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