8x-6/x-6

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Solution for 8x-6/x-6 equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

8*x-(6/x)-6 = 0

8*x-6*x^-1-6 = 0

8*x^1-6*x^-1-6*x^0 = 0

(8*x^2-6*x^1-6*x^0)/(x^1) = 0 // * x^2

x^1*(8*x^2-6*x^1-6*x^0) = 0

x^1

8*x^2-6*x-6 = 0

8*x^2-6*x-6 = 0

DELTA = (-6)^2-(-6*4*8)

DELTA = 228

DELTA > 0

x = (228^(1/2)+6)/(2*8) or x = (6-228^(1/2))/(2*8)

x = (2*57^(1/2)+6)/16 or x = (6-2*57^(1/2))/16

x in { (6-2*57^(1/2))/16, (2*57^(1/2)+6)/16} 

x in { (6-2*57^(1/2))/16, (2*57^(1/2)+6)/16 }

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