2x=32/x

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Solution for 2x=32/x equation: 


D( x )

x = 0

x = 0

x = 0

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

2*x = 32/x // - 32/x

2*x-(32/x) = 0

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

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

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

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

x^1

2*x^2-32 = 0

2*x^2-32 = 0

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

DELTA = 256

DELTA > 0

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

x = 4 or x = -4

x in { -4, 4} 

x in { -4, 4 }

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