2x^2(x-1)/x-3

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Solution for 2x^2(x-1)/x-3 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

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

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

DELTA = 28

DELTA > 0

x = (28^(1/2)+2)/(2*2) or x = (2-28^(1/2))/(2*2)

x = (2*7^(1/2)+2)/4 or x = (2-2*7^(1/2))/4

x*(x-((2-2*7^(1/2))/4))*(x-((2*7^(1/2)+2)/4)) = 0

(x*(x-((2-2*7^(1/2))/4))*(x-((2*7^(1/2)+2)/4)))/x = 0

(x*(x-((2-2*7^(1/2))/4))*(x-((2*7^(1/2)+2)/4)))/x = 0 // * x

x*(x-((2-2*7^(1/2))/4))*(x-((2*7^(1/2)+2)/4)) = 0

( x-((2*7^(1/2)+2)/4) )

x-((2*7^(1/2)+2)/4) = 0 // + (2*7^(1/2)+2)/4

x = (2*7^(1/2)+2)/4

( x-((2-2*7^(1/2))/4) )

x-((2-2*7^(1/2))/4) = 0 // + (2-2*7^(1/2))/4

x = (2-2*7^(1/2))/4

( x )

x = 0

x in { 0} 

x in { (2*7^(1/2)+2)/4, (2-2*7^(1/2))/4 }

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