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

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Solution for X^3-2x^2/(x-1)^2=0 equation: 


D( x )

(x-1)^2 = 0

(x-1)^2 = 0

(x-1)^2 = 0

x-1 = 0 // + 1

x = 1

x in (-oo:1) U (1:+oo)

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

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

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

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

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

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

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

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

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

DELTA = 0

x = (-(-2*X^3))/(2*X^3)

x = 1 or x = 1

(x-1)^2 = 0

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

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

(x-1)^2 = 0

x-1 = 0 // + 1

x = 1

x in { 1} 

x belongs to the empty set

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