x+1=12/x

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Solution for x+1=12/x equation:


D( x )

x = 0

x = 0

x = 0

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

x+1 = 12/x // - 12/x

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 = (-49^(1/2)-1)/(1*2)

x = 3 or x = -4

x in { -4, 3}

x in { -4, 3 }

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