x^-1/2-2x^1/2+x^3/2=0

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Solution for x^-1/2-2x^1/2+x^3/2=0 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

x^1

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

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

{ 1, -1 }

1

x = 1

x^4-2*x^2+1 = 0

1

x-1

x^3+x^2-x-1

x^4-2*x^2+1

x-1

x^3-x^4

x^3-2*x^2+1

x^2-x^3

1-x^2

x^2-x

1-x

x-1

0

x^3+x^2-x-1 = 0

{ 1, -1 }

1

x = 1

x^3+x^2-x-1 = 0

1

x-1

x^2+2*x+1

x^3+x^2-x-1

x-1

x^2-x^3

2*x^2-x-1

2*x-2*x^2

x-1

1-x

0

x^2+2*x+1 = 0

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

DELTA = 0

x = -2/(1*2)

x = -1 or x = -1

x in { -1, -1, 1, 1} 

x in { -1, -1, 1, 1 }

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