(3x+1/x-1)=7

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Solution for (3x+1/x-1)=7 equation: 


D( x )

x = 0

x = 0

x = 0

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

3*x+1/x-1 = 7 // - 7

3*x+1/x-7-1 = 0

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

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

x^1*(3*x^2-8*x^1+1*x^0) = 0

x^1

3*x^2-8*x+1 = 0

3*x^2-8*x+1 = 0

DELTA = (-8)^2-(1*3*4)

DELTA = 52

DELTA > 0

x = (52^(1/2)+8)/(2*3) or x = (8-52^(1/2))/(2*3)

x = (2*13^(1/2)+8)/6 or x = (8-2*13^(1/2))/6

x in { (8-2*13^(1/2))/6, (2*13^(1/2)+8)/6} 

x in { (8-2*13^(1/2))/6, (2*13^(1/2)+8)/6 }

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