3x^1/2-4x^-1/2=0

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Solution for 3x^1/2-4x^-1/2=0 equation: 


D( x )

x = 0

x = 0

x = 0

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

(3*x^1)/2-((4*x^-1)/2) = 0

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

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

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

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

x^1

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

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

DELTA = 0^2-(-2*4*(3/2))

DELTA = 12

DELTA > 0

x = (12^(1/2)+0)/(2*(3/2)) or x = (0-12^(1/2))/(2*(3/2))

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

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

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

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