(6)/(c+1)-(c)/(c^2-2c-8)

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Solution for (6)/(c+1)-(c)/(c^2-2c-8) equation: 


D( c )

c^2-(2*c)-8 = 0

c+1 = 0

c^2-(2*c)-8 = 0

c^2-(2*c)-8 = 0

c^2-2*c-8 = 0

c^2-2*c-8 = 0

DELTA = (-2)^2-(-8*1*4)

DELTA = 36

DELTA > 0

c = (36^(1/2)+2)/(1*2) or c = (2-36^(1/2))/(1*2)

c = 4 or c = -2

c+1 = 0

c+1 = 0

c+1 = 0 // - 1

c = -1

c in (-oo:-2) U (-2:-1) U (-1:4) U (4:+oo)

6/(c+1)-(c/(c^2-(2*c)-8)) = 0

6/(c+1)-(c/(c^2-2*c-8)) = 0

6/(c+1)+(-1*c)/(c^2-2*c-8) = 0

c^2-2*c-8 = 0

c^2-2*c-8 = 0

c^2-2*c-8 = 0

DELTA = (-2)^2-(-8*1*4)

DELTA = 36

DELTA > 0

c = (36^(1/2)+2)/(1*2) or c = (2-36^(1/2))/(1*2)

c = 4 or c = -2

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

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

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

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

5*c^2-13*c-48 = 0

5*c^2-13*c-48 = 0

5*c^2-13*c-48 = 0

DELTA = (-13)^2-(-48*4*5)

DELTA = 1129

DELTA > 0

c = (1129^(1/2)+13)/(2*5) or c = (13-1129^(1/2))/(2*5)

c = (1129^(1/2)+13)/10 or c = (13-1129^(1/2))/10

(c-((13-1129^(1/2))/10))*(c-((1129^(1/2)+13)/10)) = 0

((c-((13-1129^(1/2))/10))*(c-((1129^(1/2)+13)/10)))/((c+1)*(c+2)*(c-4)) = 0

((c-((13-1129^(1/2))/10))*(c-((1129^(1/2)+13)/10)))/((c+1)*(c+2)*(c-4)) = 0 // * (c+1)*(c+2)*(c-4)

(c-((13-1129^(1/2))/10))*(c-((1129^(1/2)+13)/10)) = 0

( c-((1129^(1/2)+13)/10) )

c-((1129^(1/2)+13)/10) = 0 // + (1129^(1/2)+13)/10

c = (1129^(1/2)+13)/10

( c-((13-1129^(1/2))/10) )

c-((13-1129^(1/2))/10) = 0 // + (13-1129^(1/2))/10

c = (13-1129^(1/2))/10

c in { (1129^(1/2)+13)/10, (13-1129^(1/2))/10 }

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