x-3/x=3/x-8

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Solution for x-3/x=3/x-8 equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(3/x) = 3/x-8 // - 3/x-8

x-(3/x)-(3/x)+8 = 0

x-3*x^-1-3*x^-1+8 = 0

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

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

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

x^1

x^2+8*x-6 = 0

x^2+8*x-6 = 0

DELTA = 8^2-(-6*1*4)

DELTA = 88

DELTA > 0

x = (88^(1/2)-8)/(1*2) or x = (-88^(1/2)-8)/(1*2)

x = (2*22^(1/2)-8)/2 or x = (-2*22^(1/2)-8)/2

x in { (-2*22^(1/2)-8)/2, (2*22^(1/2)-8)/2} 

x in { (-2*22^(1/2)-8)/2, (2*22^(1/2)-8)/2 }

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