0=4x-32x^-1/2

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Solution for 0=4x-32x^-1/2 equation: 


D( x )

x = 0

x = 0

x = 0

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

0 = 4*x-((32*x^-1)/2) // - 4*x-((32*x^-1)/2)

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

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

16*x^-1-4*x^1 = 0

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

x^1*(16*x^0-4*x^2) = 0

x^1

16-4*x^2 = 0

16-4*x^2 = 0

DELTA = 0^2-(-4*4*16)

DELTA = 256

DELTA > 0

x = (256^(1/2)+0)/(-4*2) or x = (0-256^(1/2))/(-4*2)

x = -2 or x = 2

x in { -2, 2} 

x in { -2, 2 }

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