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

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


x in (-oo:+oo)

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

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

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

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

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

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

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

x^2+3*x+2 = 0

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

DELTA = 1

DELTA > 0

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

x = -1 or x = -2

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

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

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

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

( -x )

-1*x = 0 // : -1

x = 0

( x+1 )

x+1 = 0 // - 1

x = -1

( x+2 )

x+2 = 0 // - 2

x = -2

x in { 0, -1, -2 }

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