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

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


D( x )

x^1 = 0

x^1 = 0

x^1 = 0

x = 0

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

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

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

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

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

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

1*x^2 = 1 // : 1

x^2 = 1

x^2 = 1 // ^ 1/2

abs(x) = 1

x = 1 or x = -1

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

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

( 1/2*x^-1 )

1/2*x^-1 = 0 // : 1/2

x^-1 = 0

x naleu017Cy do O

( 1/2*x^3 )

1/2*x^3 = 0 // : 1/2

x^3 = 0

x = 0

( x+1 )

x+1 = 0 // - 1

x = -1

( x-1 )

x-1 = 0 // + 1

x = 1

x in { 0} 

x in { -1, 1 }

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