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

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

x^1

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

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

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

DELTA = 9/2

DELTA > 0

x = ((9/2)^(1/2)+0)/(2*(3/4)) or x = (0-(9/2)^(1/2))/(2*(3/4))

x = 2/3*(9/2)^(1/2) or x = 2/3*(9/2)^(1/2)

x in { 2/3*(9/2)^(1/2), 2/3*(9/2)^(1/2)} 

x in { 2/3*(9/2)^(1/2), 2/3*(9/2)^(1/2) }

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