x-4=12/x

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Solution for x-4=12/x equation: 


D( x )

x = 0

x = 0

x = 0

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

x-4 = 12/x // - 12/x

x-(12/x)-4 = 0

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

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

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

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

x^1

x^2-4*x-12 = 0

x^2-4*x-12 = 0

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

DELTA = 64

DELTA > 0

x = (64^(1/2)+4)/(1*2) or x = (4-64^(1/2))/(1*2)

x = 6 or x = -2

x in { -2, 6} 

x in { -2, 6 }

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