3x/x^2-x-20

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Solution for 3x/x^2-x-20 equation: 


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

(3*x)/(x^2)-x-20 = 0

3*x^-1-1*x^1-20*x^0 = 0

(3*x^0-1*x^2-20*x^1)/(x^1) = 0 // * x^2

x^1*(3*x^0-1*x^2-20*x^1) = 0

x^1

3-x^2-20*x = 0

3-x^2-20*x = 0

DELTA = (-20)^2-(-1*3*4)

DELTA = 412

DELTA > 0

x = (412^(1/2)+20)/(-1*2) or x = (20-412^(1/2))/(-1*2)

x = (2*103^(1/2)+20)/(-2) or x = (20-2*103^(1/2))/(-2)

x in { (2*103^(1/2)+20)/(-2), (20-2*103^(1/2))/(-2)} 

x in { (2*103^(1/2)+20)/(-2), (20-2*103^(1/2))/(-2) }

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