x-3/x-6=8/6-x

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Solution for x-3/x-6=8/6-x equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(3/x)-6 = 8/6-x // - 8/6-x

x+x-(3/x)-(8/6)-6 = 0

x+x-3*x^-1-4/3-6 = 0

2*x^1-3*x^-1-22/3*x^0 = 0

(2*x^2-22/3*x^1-3*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2-22/3*x^1-3*x^0) = 0

x^1

2*x^2+(-22/3)*x-3 = 0

2*x^2+(-22/3)*x-3 = 0

DELTA = (-22/3)^2-(-3*2*4)

DELTA = 700/9

DELTA > 0

x = ((700/9)^(1/2)-(-22/3))/(2*2) or x = (-(-22/3)-(700/9)^(1/2))/(2*2)

x = ((700/9)^(1/2)+22/3)/4 or x = (22/3-(700/9)^(1/2))/4

x in { (22/3-(700/9)^(1/2))/4, ((700/9)^(1/2)+22/3)/4} 

x in { (22/3-(700/9)^(1/2))/4, ((700/9)^(1/2)+22/3)/4 }

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