10x-10/x-1=0

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Solution for 10x-10/x-1=0 equation: 


D( x )

x = 0

x = 0

x = 0

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

10*x-(10/x)-1 = 0

10*x-10*x^-1-1 = 0

10*x^1-10*x^-1-1*x^0 = 0

(10*x^2-1*x^1-10*x^0)/(x^1) = 0 // * x^2

x^1*(10*x^2-1*x^1-10*x^0) = 0

x^1

10*x^2-x-10 = 0

10*x^2-x-10 = 0

DELTA = (-1)^2-(-10*4*10)

DELTA = 401

DELTA > 0

x = (401^(1/2)+1)/(2*10) or x = (1-401^(1/2))/(2*10)

x = (401^(1/2)+1)/20 or x = (1-401^(1/2))/20

x in { (1-401^(1/2))/20, (401^(1/2)+1)/20} 

x in { (1-401^(1/2))/20, (401^(1/2)+1)/20 }

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