x-6/x-1=5/12

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Solution for x-6/x-1=5/12 equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(6/x)-1 = 5/12 // - 5/12

x-(6/x)-(5/12)-1 = 0

x-6*x^-1-5/12-1 = 0

1*x^1-6*x^-1-17/12*x^0 = 0

(1*x^2-17/12*x^1-6*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-17/12*x^1-6*x^0) = 0

x^1

x^2+(-17/12)*x-6 = 0

x^2+(-17/12)*x-6 = 0

DELTA = (-17/12)^2-(-6*1*4)

DELTA = 3745/144

DELTA > 0

x = ((3745/144)^(1/2)-(-17/12))/(1*2) or x = (-(-17/12)-(3745/144)^(1/2))/(1*2)

x = ((3745/144)^(1/2)+17/12)/2 or x = (17/12-(3745/144)^(1/2))/2

x in { (17/12-(3745/144)^(1/2))/2, ((3745/144)^(1/2)+17/12)/2} 

x in { (17/12-(3745/144)^(1/2))/2, ((3745/144)^(1/2)+17/12)/2 }

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