3x-5x/x^2

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Solution for 3x-5x/x^2 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-((5*x)/(x^2)) = 0

3*x-5*x^-1 = 0

3*x^1-5*x^-1 = 0

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

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

x^1

3*x^2-5 = 0

3*x^2-5 = 0

DELTA = 0^2-(-5*3*4)

DELTA = 60

DELTA > 0

x = (60^(1/2)+0)/(2*3) or x = (0-60^(1/2))/(2*3)

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

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

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

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