x-(12/x)=1

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Solution for x-(12/x)=1 equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(12/x) = 1 // - 1

x-(12/x)-1 = 0

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

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

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

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

x^1

x^2-x-12 = 0

x^2-x-12 = 0

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

DELTA = 49

DELTA > 0

x = (49^(1/2)+1)/(1*2) or x = (1-49^(1/2))/(1*2)

x = 4 or x = -3

x in { -3, 4} 

x in { -3, 4 }

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