graciemaegallagher graciemaegallagher
  • 11-02-2021
  • Mathematics
contestada

Solve x2 − 8x + 5 = 0 using the completing-the-square method. (2 points)

Respuesta :

Hrishii
Hrishii Hrishii
  • 11-02-2021

Answer:

[tex] x = 4 + \sqrt{11}, \: \: x = 4 - \sqrt{11} [/tex]

Step-by-step explanation:

[tex] {x}^{2} -8x + 5 = 0 \\ \\ {x}^{2} - 8x + {4}^{2} = - 5 + {4}^{2} \\ \\ {(x - 4)}^{2} = - 5 + 16 \\ \\ {(x - 4)}^{2} = 11 \\ \\ x - 4 = \pm \sqrt{11} \\ \\ x = 4 \pm \sqrt{11} \\ \\ x = 4 + \sqrt{11}, \: \: x = 4 - \sqrt{11} [/tex]

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