6x+5/x-5-x-7/2x-10

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Solution for 6x+5/x-5-x-7/2x-10 equation:


D( x )

x = 0

x = 0

x = 0

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

6*x-x-((7/2)*x)+5/x-10-5 = 0

6*x-x+(-7/2)*x+5/x-10-5 = 0

3/2*x^1+5*x^-1-15*x^0 = 0

(3/2*x^2-15*x^1+5*x^0)/(x^1) = 0 // * x^2

x^1*(3/2*x^2-15*x^1+5*x^0) = 0

x^1

(3/2)*x^2-15*x+5 = 0

(3/2)*x^2-15*x+5 = 0

DELTA = (-15)^2-(4*5*(3/2))

DELTA = 195

DELTA > 0

x = (195^(1/2)+15)/(2*(3/2)) or x = (15-195^(1/2))/(2*(3/2))

x = (195^(1/2)+15)/3 or x = (15-195^(1/2))/3

x in { (15-195^(1/2))/3, (195^(1/2)+15)/3}

x in { (15-195^(1/2))/3, (195^(1/2)+15)/3 }

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