3x-30/x-10

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Solution for 3x-30/x-10 equation: 


D( x )

x = 0

x = 0

x = 0

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

3*x-(30/x)-10 = 0

3*x-30*x^-1-10 = 0

3*x^1-30*x^-1-10*x^0 = 0

(3*x^2-10*x^1-30*x^0)/(x^1) = 0 // * x^2

x^1*(3*x^2-10*x^1-30*x^0) = 0

x^1

3*x^2-10*x-30 = 0

3*x^2-10*x-30 = 0

DELTA = (-10)^2-(-30*3*4)

DELTA = 460

DELTA > 0

x = (460^(1/2)+10)/(2*3) or x = (10-460^(1/2))/(2*3)

x = (2*115^(1/2)+10)/6 or x = (10-2*115^(1/2))/6

x in { (10-2*115^(1/2))/6, (2*115^(1/2)+10)/6} 

x in { (10-2*115^(1/2))/6, (2*115^(1/2)+10)/6 }

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