x-6/x+2=5/6

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Solution for x-6/x+2=5/6 equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(6/x)+2 = 5/6 // - 5/6

x-(6/x)-(5/6)+2 = 0

x-6*x^-1-5/6+2 = 0

1*x^1-6*x^-1+7/6*x^0 = 0

(1*x^2+7/6*x^1-6*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2+7/6*x^1-6*x^0) = 0

x^1

x^2+(7/6)*x-6 = 0

x^2+(7/6)*x-6 = 0

DELTA = (7/6)^2-(-6*1*4)

DELTA = 913/36

DELTA > 0

x = ((913/36)^(1/2)-(7/6))/(1*2) or x = (-(7/6)-(913/36)^(1/2))/(1*2)

x = ((913/36)^(1/2)-7/6)/2 or x = (-((913/36)^(1/2)+7/6))/2

x in { (-((913/36)^(1/2)+7/6))/2, ((913/36)^(1/2)-7/6)/2} 

x in { (-((913/36)^(1/2)+7/6))/2, ((913/36)^(1/2)-7/6)/2 }

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