X=20-x+(x-1)^3/x^2+2-2

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Solution for X=20-x+(x-1)^3/x^2+2-2 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)

X = ((x-1)^3)/(x^2)-x-2+2+20 // - ((x-1)^3)/(x^2)-x-2+2+20

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

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

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

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

X*x^2-x^3+x^3+3*x^2-20*x^2-2*x^2+2*x^2-3*x+1 = 0

X*x^2+3*x^2-20*x^2-2*x^2+2*x^2-3*x+1 = 0

X*x^2-17*x^2-2*x^2+2*x^2-3*x+1 = 0

X*x^2-19*x^2+2*x^2-3*x+1 = 0

X*x^2-17*x^2-3*x+1 = 0

X*x^2-17*x^2-3*x+1 = 0

1-17*x^2-3*x = 0

DELTA = (-3)^2-(-17*1*4)

DELTA = 77

DELTA > 0

x = (77^(1/2)+3)/(-17*2) or x = (3-77^(1/2))/(-17*2)

x = (77^(1/2)+3)/(-34) or x = (3-77^(1/2))/(-34)

(x-((77^(1/2)+3)/(-34)))*(x-((3-77^(1/2))/(-34))) = 0

((x-((77^(1/2)+3)/(-34)))*(x-((3-77^(1/2))/(-34))))/(x^2) = 0

((x-((77^(1/2)+3)/(-34)))*(x-((3-77^(1/2))/(-34))))/(x^2) = 0 // * x^2

(x-((77^(1/2)+3)/(-34)))*(x-((3-77^(1/2))/(-34))) = 0

( x-((3-77^(1/2))/(-34)) )

x-((3-77^(1/2))/(-34)) = 0 // + (3-77^(1/2))/(-34)

x = (3-77^(1/2))/(-34)

( x-((77^(1/2)+3)/(-34)) )

x-((77^(1/2)+3)/(-34)) = 0 // + (77^(1/2)+3)/(-34)

x = (77^(1/2)+3)/(-34)

x in { (3-77^(1/2))/(-34), (77^(1/2)+3)/(-34) }

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