c-4/c+1=c/c-1

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Solution for c-4/c+1=c/c-1 equation:


D( c )

c = 0

c = 0

c = 0

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

c-(4/c)+1 = c/c-1 // - c/c-1

c-(4/c)-(c/c)+1+1 = 0

c-4*c^-1-1+1+1 = 0

1*c^1-4*c^-1+1*c^0 = 0

(1*c^2+1*c^1-4*c^0)/(c^1) = 0 // * c^2

c^1*(1*c^2+1*c^1-4*c^0) = 0

c^1

c^2+c-4 = 0

c^2+c-4 = 0

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

DELTA = 17

DELTA > 0

c = (17^(1/2)-1)/(1*2) or c = (-17^(1/2)-1)/(1*2)

c = (17^(1/2)-1)/2 or c = (-(17^(1/2)+1))/2

c in { (-(17^(1/2)+1))/2, (17^(1/2)-1)/2}

c in { (-(17^(1/2)+1))/2, (17^(1/2)-1)/2 }

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