dakotaA8
dakotaA8 dakotaA8
  • 13-01-2021
  • Mathematics
contestada

2(x/8 + 3) = 7 + 1/4x what is x

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Respuesta :

zulfiyya17
zulfiyya17 zulfiyya17
  • 13-01-2021

Answer:

x1 = 2 -[tex]\sqrt{5}[/tex]

x2= 2 +[tex]\sqrt{5}[/tex]

Step-by-step explanation:

x/4 + 6 = 7 + 1/4x

(x^2 - 1)/4x = 1

x^2 - 1 = 4x

x^2 - 4x -1 = 0

x= (4+[tex]\sqrt{20}[/tex])/2 = 2 -[tex]\sqrt{5}[/tex]

x= 2 +[tex]\sqrt{5}[/tex]

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