(x/x+1)+(6x-7/x-1)

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Solution for (x/x+1)+(6x-7/x-1) equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

x^1

6*x^2+x-7 = 0

6*x^2+x-7 = 0

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

DELTA = 169

DELTA > 0

x = (169^(1/2)-1)/(2*6) or x = (-169^(1/2)-1)/(2*6)

x = 1 or x = -7/6

x in { -7/6, 1} 

x in { -7/6, 1 }

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