x-9/(x-4)(x+4)

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Solution for x-9/(x-4)(x+4) equation: 


D( x )

x-4 = 0

x-4 = 0

x-4 = 0

x-4 = 0 // + 4

x = 4

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

x-((9/(x-4))*(x+4)) = 0

x-9*(x-4)^-1*(x+4) = 0

(-9*(x+4))/(x-4)+x = 0

(-9*(x+4))/(x-4)+(x*(x-4))/(x-4) = 0

x*(x-4)-9*(x+4) = 0

x^2-13*x-36 = 0

x^2-13*x-36 = 0

x^2-13*x-36 = 0

DELTA = (-13)^2-(-36*1*4)

DELTA = 313

DELTA > 0

x = (313^(1/2)+13)/(1*2) or x = (13-313^(1/2))/(1*2)

x = (313^(1/2)+13)/2 or x = (13-313^(1/2))/2

(x-((13-313^(1/2))/2))*(x-((313^(1/2)+13)/2)) = 0

((x-((13-313^(1/2))/2))*(x-((313^(1/2)+13)/2)))/(x-4) = 0

((x-((13-313^(1/2))/2))*(x-((313^(1/2)+13)/2)))/(x-4) = 0 // * x-4

(x-((13-313^(1/2))/2))*(x-((313^(1/2)+13)/2)) = 0

( x-((13-313^(1/2))/2) )

x-((13-313^(1/2))/2) = 0 // + (13-313^(1/2))/2

x = (13-313^(1/2))/2

( x-((313^(1/2)+13)/2) )

x-((313^(1/2)+13)/2) = 0 // + (313^(1/2)+13)/2

x = (313^(1/2)+13)/2

x in { (13-313^(1/2))/2, (313^(1/2)+13)/2 }

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