barbagolivia04 barbagolivia04
  • 08-02-2021
  • Mathematics
contestada

complete the square to slove 3x^2+12x =9​

Respuesta :

stevensonavery5534 stevensonavery5534
  • 08-02-2021
Answer:
(x + 2)² = 7
Step-by-step explanation:
We have to complete the square in the given equation
3x² + 12x = 9
3x² + 12x - 9 = 0
3[x² + 4x -3] = 0
3[x² + 2(2x) + 4 - 4 - 3] = 0
3[x² + 2(2x) + 4] - 3 × 7 = 0
3[x² + 2]² - 21 = 0
(x + 2)² = = 7
Therefore, the square form of the equation is (x + 2)² = 7

Hope this helps (:
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