72/x=3x/4

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Solution for 72/x=3x/4 equation: 


D( x )

x = 0

x = 0

x = 0

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

72/x = (3*x)/4 // - (3*x)/4

72/x-((3*x)/4) = 0

(-3/4)*x+72/x = 0

72*x^-1-3/4*x^1 = 0

(72*x^0-3/4*x^2)/(x^1) = 0 // * x^2

x^1*(72*x^0-3/4*x^2) = 0

x^1

(-3/4)*x^2+72 = 0

(-3/4)*x^2+72 = 0

DELTA = 0^2-(4*72*(-3/4))

DELTA = 216

DELTA > 0

x = (216^(1/2)+0)/(2*(-3/4)) or x = (0-216^(1/2))/(2*(-3/4))

x = -4*6^(1/2) or x = 4*6^(1/2)

x in { -4*6^(1/2), 4*6^(1/2)} 

x in { -4*6^(1/2), 4*6^(1/2) }

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