5/x^1/2-x^1/2

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Solution for 5/x^1/2-x^1/2 equation: 


D( x )

x^1 = 0

x^1 = 0

x^1 = 0

x = 0

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

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

(5/x)/2-(x/2) = 0

5/2*x^-1-1/2*x^1 = 0

(5/2*x^0-1/2*x^2)/(x^1) = 0 // * x^2

x^1*(5/2*x^0-1/2*x^2) = 0

x^1

(-1/2)*x^2+5/2 = 0

(-1/2)*x^2+5/2 = 0

DELTA = 0^2-(4*(-1/2)*(5/2))

DELTA = 5

DELTA > 0

x = (5^(1/2)+0)/(2*(-1/2)) or x = (0-5^(1/2))/(2*(-1/2))

x = -5^(1/2) or x = 5^(1/2)

x in { -5^(1/2), 5^(1/2)} 

x in { -5^(1/2), 5^(1/2) }

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