6x-7/7x+6=x-1/x+2

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Solution for 6x-7/7x+6=x-1/x+2 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

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

4*x^1+1*x^-1+4*x^0 = 0

(4*x^2+4*x^1+1*x^0)/(x^1) = 0 // * x^2

x^1*(4*x^2+4*x^1+1*x^0) = 0

x^1

4*x^2+4*x+1 = 0

4*x^2+4*x+1 = 0

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

DELTA = 0

x = -4/(2*4)

x = -1/2 or x = -1/2

x in { -1/2, -1/2} 

x in { -1/2, -1/2 }

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