camdencmartin2007 camdencmartin2007
  • 11-09-2021
  • Mathematics
contestada

x^2 - 8x = 3 by completing the square

Respuesta :

Happil
Happil Happil
  • 11-09-2021

Solving Quadratic Equations by Completing the Square Method

Answer:

[tex]x = 4 +\sqrt{19}[/tex] and [tex]x = 4 -\sqrt{19}[/tex]

Step-by-step explanation:

Recall:

[tex]x^2 -2ax +a^2 = (x -a)^2[/tex]

[tex]x^2 -8x = 3 \\ x^2 -8x +16 = 3 +16 \\ (x -4)^2 = 19 \\ x -4 = ±\sqrt{19} \\ x = 4 ±\sqrt{19}[/tex]

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