c/9=4/c-5

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Solution for c/9=4/c-5 equation: 


D( c )

c = 0

c = 0

c = 0

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

c/9 = 4/c-5 // - 4/c-5

c/9-(4/c)+5 = 0

c/9-4*c^-1+5 = 0

1/9*c^1-4*c^-1+5*c^0 = 0

(1/9*c^2+5*c^1-4*c^0)/(c^1) = 0 // * c^2

c^1*(1/9*c^2+5*c^1-4*c^0) = 0

c^1

(1/9)*c^2+5*c-4 = 0

(1/9)*c^2+5*c-4 = 0

DELTA = 5^2-(-4*4*(1/9))

DELTA = 241/9

DELTA > 0

c = ((241/9)^(1/2)-5)/(2*(1/9)) or c = (-(241/9)^(1/2)-5)/(2*(1/9))

c = 9/2*((241/9)^(1/2)-5) or c = -9/2*((241/9)^(1/2)+5)

c in { -9/2*((241/9)^(1/2)+5), 9/2*((241/9)^(1/2)-5)} 

c in { -9/2*((241/9)^(1/2)+5), 9/2*((241/9)^(1/2)-5) }

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