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

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


x in (-oo:+oo)

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

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

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

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

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

1*x^2 = 3 // : 1

x^2 = 3

x^2 = 3 // ^ 1/2

abs(x) = 3^(1/2)

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

x/2 = 0

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

x = 0

x in { 3^(1/2), -3^(1/2), 0 }

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