x^1/2+x^-1/2-2

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Solution for x^1/2+x^-1/2-2 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

x^1

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

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

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

DELTA = 3

DELTA > 0

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

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

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

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

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