(6x+6/7)/(4x+4/x-2)

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Solution for (6x+6/7)/(4x+4/x-2) equation:


D( x )

x = 0

4*x+4/x-2 = 0

x = 0

x = 0

4*x+4/x-2 = 0

4*x+4/x-2 = 0

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

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

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

x^1

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

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

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

DELTA = -60

DELTA < 0

x in { }

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

(6*x+6/7)/(4*x+4/x-2) = 0

(6*x+6/7)/(4*x+4*x^-1-2) = 0

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

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

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

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

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

x^1

2*x^2-x+2 = 0

2*x^2-x+2 = 0

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

DELTA = -15

DELTA < 0

x in { }

2 = 0

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

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

6*x = -6/7 // : 6

x = -6/7/6

x = -1/7

x = -1/7

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