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

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


D( x )

(x^1)/2-1 = 0

(x^1)/2-1 = 0

(x^1)/2-1 = 0

x/2-1 = 0

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

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

x = 1/1/2

x = 2

x in (-oo:2) U (2:+oo)

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

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

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

1*x^3 = 1 // : 1

x^3 = 1

x^3 = 1 // ^ 1/3

x = 1

x = 1

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