(42(13+x))/(13-x)+(42(12-x))/(13+x)=6.5

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Solution for (42(13+x))/(13-x)+(42(12-x))/(13+x)=6.5 equation: 


D( x )

x+13 = 0

13-x = 0

x+13 = 0

x+13 = 0

x+13 = 0 // - 13

x = -13

13-x = 0

13-x = 0

13-x = 0 // - 13

-x = -13 // * -1

x = 13

x in (-oo:-13) U (-13:13) U (13:+oo)

(42*(x+13))/(13-x)+(42*(12-x))/(x+13) = 6.5 // - 6.5

(42*(x+13))/(13-x)+(42*(12-x))/(x+13)-6.5 = 0

(42*(x+13)^2)/((13-x)*(x+13))+(42*(12-x)*(13-x))/((13-x)*(x+13))+(-6.5*(13-x)*(x+13))/((13-x)*(x+13)) = 0

42*(x+13)^2+42*(12-x)*(13-x)-6.5*(13-x)*(x+13) = 0

84*x^2+6.5*x^2+42*x-1098.5+13650 = 0

90.5*x^2+42*x+12551.5 = 0

90.5*x^2+42*x+12551.5 = 0

90.5*x^2+42*x+12551.5 = 0

DELTA = 42^2-(4*90.5*12551.5)

DELTA = -4541879

DELTA < 0

1 = 0

1/((13-x)*(x+13)) = 0

1/((13-x)*(x+13)) = 0 // * (13-x)*(x+13)

1 = 0

x belongs to the empty set

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