60/(8+c)+60/(8-c)=16.5

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Solution for 60/(8+c)+60/(8-c)=16.5 equation: 


D( c )

8-c = 0

c+8 = 0

8-c = 0

8-c = 0

8-c = 0 // - 8

-c = -8 // * -1

c = 8

c+8 = 0

c+8 = 0

c+8 = 0 // - 8

c = -8

c in (-oo:-8) U (-8:8) U (8:+oo)

60/(c+8)+60/(8-c) = 16.5 // - 16.5

60/(c+8)+60/(8-c)-16.5 = 0

(60*(8-c))/((c+8)*(8-c))+(60*(c+8))/((c+8)*(8-c))+(-16.5*(c+8)*(8-c))/((c+8)*(8-c)) = 0

60*(8-c)+60*(c+8)-16.5*(c+8)*(8-c) = 0

16.5*c^2-1056+960 = 0

16.5*c^2-96 = 0

(16.5*c^2-96)/((c+8)*(8-c)) = 0

(16.5*c^2-96)/((c+8)*(8-c)) = 0 // * (c+8)*(8-c)

16.5*c^2-96 = 0

16.5*c^2 = 96 // : 16.5

c^2 = 5.81818182

c^2 = 5.81818182 // ^ 1/2

abs(c) = 5.81818182^(1/2)

c = 5.81818182^(1/2) or c = -5.81818182^(1/2)

c in { 5.81818182^(1/2), -5.81818182^(1/2) }

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