72/x=x

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Solution for 72/x=x equation: 


D( x )

x = 0

x = 0

x = 0

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

72/x = x // - x

72/x-x = 0

72*x^-1-1*x^1 = 0

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

x^1*(72*x^0-1*x^2) = 0

x^1

72-x^2 = 0

72-x^2 = 0

DELTA = 0^2-(-1*4*72)

DELTA = 288

DELTA > 0

x = (288^(1/2)+0)/(-1*2) or x = (0-288^(1/2))/(-1*2)

x = -6*2^(1/2) or x = 6*2^(1/2)

x in { -6*2^(1/2), 6*2^(1/2)} 

x in { -6*2^(1/2), 6*2^(1/2) }

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