x+8/x-1+x=9/x-1

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Solution for x+8/x-1+x=9/x-1 equation: 


D( x )

x = 0

x = 0

x = 0

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

x+x+8/x-1 = 9/x-1 // - 9/x-1

x+x+8/x-(9/x)-1+1 = 0

x+x+8/x-9*x^-1-1+1 = 0

2*x^1-1*x^-1 = 0

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

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

x^1

2*x^2-1 = 0

2*x^2-1 = 0

DELTA = 0^2-(-1*2*4)

DELTA = 8

DELTA > 0

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

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

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

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

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