8x-64x^-1/2

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Solution for 8x-64x^-1/2 equation: 


D( x )

x = 0

x = 0

x = 0

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

8*x-((64*x^-1)/2) = 0

8*x-32*x^-1 = 0

8*x^1-32*x^-1 = 0

(8*x^2-32*x^0)/(x^1) = 0 // * x^2

x^1*(8*x^2-32*x^0) = 0

x^1

8*x^2-32 = 0

8*x^2-32 = 0

DELTA = 0^2-(-32*4*8)

DELTA = 1024

DELTA > 0

x = (1024^(1/2)+0)/(2*8) or x = (0-1024^(1/2))/(2*8)

x = 2 or x = -2

x in { -2, 2} 

x in { -2, 2 }

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