x/4=12/x+2

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Solution for x/4=12/x+2 equation: 


D( x )

x = 0

x = 0

x = 0

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

x/4 = 12/x+2 // - 12/x+2

x/4-(12/x)-2 = 0

x/4-12*x^-1-2 = 0

1/4*x^1-12*x^-1-2*x^0 = 0

(1/4*x^2-2*x^1-12*x^0)/(x^1) = 0 // * x^2

x^1*(1/4*x^2-2*x^1-12*x^0) = 0

x^1

(1/4)*x^2-2*x-12 = 0

(1/4)*x^2-2*x-12 = 0

DELTA = (-2)^2-(-12*4*(1/4))

DELTA = 16

DELTA > 0

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

x = 12 or x = -4

x in { -4, 12} 

x in { -4, 12 }

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