24/x=4x

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Solution for 24/x=4x equation: 


D( x )

x = 0

x = 0

x = 0

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

24/x = 4*x // - 4*x

24/x-(4*x) = 0

24/x-4*x = 0

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

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

x^1*(24*x^0-4*x^2) = 0

x^1

24-4*x^2 = 0

24-4*x^2 = 0

DELTA = 0^2-(-4*4*24)

DELTA = 384

DELTA > 0

x = (384^(1/2)+0)/(-4*2) or x = (0-384^(1/2))/(-4*2)

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

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

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

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