5x+1/x-1=8

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Solution for 5x+1/x-1=8 equation: 


D( x )

x = 0

x = 0

x = 0

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

5*x+1/x-1 = 8 // - 8

5*x+1/x-8-1 = 0

5*x^1+1*x^-1-9*x^0 = 0

(5*x^2-9*x^1+1*x^0)/(x^1) = 0 // * x^2

x^1*(5*x^2-9*x^1+1*x^0) = 0

x^1

5*x^2-9*x+1 = 0

5*x^2-9*x+1 = 0

DELTA = (-9)^2-(1*4*5)

DELTA = 61

DELTA > 0

x = (61^(1/2)+9)/(2*5) or x = (9-61^(1/2))/(2*5)

x = (61^(1/2)+9)/10 or x = (9-61^(1/2))/10

x in { (9-61^(1/2))/10, (61^(1/2)+9)/10} 

x in { (9-61^(1/2))/10, (61^(1/2)+9)/10 }

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