(8/x)+(14/(x-3))=1

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Solution for (8/x)+(14/(x-3))=1 equation: 


D( x )

x = 0

x-3 = 0

x = 0

x = 0

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

x in (-oo:0) U (0:3) U (3:+oo)

14/(x-3)+8/x = 1 // - 1

14/(x-3)+8/x-1 = 0

(14*x)/(x*(x-3))+(8*(x-3))/(x*(x-3))+(-1*x*(x-3))/(x*(x-3)) = 0

8*(x-3)-1*x*(x-3)+14*x = 0

22*x-x^2+3*x-24 = 0

25*x-x^2-24 = 0

25*x-x^2-24 = 0

25*x-x^2-24 = 0

DELTA = 25^2-(-24*(-1)*4)

DELTA = 529

DELTA > 0

x = (529^(1/2)-25)/(-1*2) or x = (-529^(1/2)-25)/(-1*2)

x = 1 or x = 24

(x-1)*(x-24) = 0

((x-1)*(x-24))/(x*(x-3)) = 0

((x-1)*(x-24))/(x*(x-3)) = 0 // * x*(x-3)

(x-1)*(x-24) = 0

( x-1 )

x-1 = 0 // + 1

x = 1

( x-24 )

x-24 = 0 // + 24

x = 24

x in { 1, 24 }

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