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]
