18/(x-4)=1+20/(x+4)

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Solution for 18/(x-4)=1+20/(x+4) equation:


D( x )

x+4 = 0

x-4 = 0

x+4 = 0

x+4 = 0

x+4 = 0 // - 4

x = -4

x-4 = 0

x-4 = 0

x-4 = 0 // + 4

x = 4

x in (-oo:-4) U (-4:4) U (4:+oo)

18/(x-4) = 20/(x+4)+1 // - 20/(x+4)+1

18/(x-4)-(20/(x+4))-1 = 0

18/(x-4)-20*(x+4)^-1-1 = 0

18/(x-4)-20/(x+4)-1 = 0

(18*(x+4))/((x-4)*(x+4))+(-20*(x-4))/((x-4)*(x+4))+(-1*(x-4)*(x+4))/((x-4)*(x+4)) = 0

18*(x+4)-20*(x-4)-1*(x-4)*(x+4) = 0

16-x^2-2*x+152 = 0

168-x^2-2*x = 0

168-x^2-2*x = 0

168-x^2-2*x = 0

DELTA = (-2)^2-(-1*4*168)

DELTA = 676

DELTA > 0

x = (676^(1/2)+2)/(-1*2) or x = (2-676^(1/2))/(-1*2)

x = -14 or x = 12

(x+14)*(x-12) = 0

((x+14)*(x-12))/((x-4)*(x+4)) = 0

((x+14)*(x-12))/((x-4)*(x+4)) = 0 // * (x-4)*(x+4)

(x+14)*(x-12) = 0

( x+14 )

x+14 = 0 // - 14

x = -14

( x-12 )

x-12 = 0 // + 12

x = 12

x in { -14, 12 }

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