3x+1/x-1=6x-13/2x-7

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Solution for 3x+1/x-1=6x-13/2x-7 equation:


D( x )

x = 0

x = 0

x = 0

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

3*x+1/x-1 = 6*x-((13/2)*x)-7 // - 6*x-((13/2)*x)-7

3*x-(6*x)+(13/2)*x+1/x-1+7 = 0

3*x-6*x+(13/2)*x+1/x-1+7 = 0

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

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

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

x^1

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

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

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

DELTA = 22

DELTA > 0

x = (22^(1/2)-6)/(2*(7/2)) or x = (-22^(1/2)-6)/(2*(7/2))

x = (22^(1/2)-6)/7 or x = (-(22^(1/2)+6))/7

x in { (-(22^(1/2)+6))/7, (22^(1/2)-6)/7}

x in { (-(22^(1/2)+6))/7, (22^(1/2)-6)/7 }

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