2/(x-5)-1/(x-5)=11/(x^2-25)

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Solution for 2/(x-5)-1/(x-5)=11/(x^2-25) equation: 


D( x )

x-5 = 0

x^2-25 = 0

x-5 = 0

x-5 = 0

x-5 = 0 // + 5

x = 5

x^2-25 = 0

x^2-25 = 0

1*x^2 = 25 // : 1

x^2 = 25

x^2 = 25 // ^ 1/2

abs(x) = 5

x = 5 or x = -5

x in (-oo:-5) U (-5:5) U (5:+oo)

2/(x-5)-(1/(x-5)) = 11/(x^2-25) // - 11/(x^2-25)

2/(x-5)-(1/(x-5))-(11/(x^2-25)) = 0

2/(x-5)-(x-5)^-1-11*(x^2-25)^-1 = 0

2/(x-5)-1/(x-5)-11/(x^2-25) = 0

(2*(x^2-25))/((x-5)*(x^2-25))+(-1*(x^2-25))/((x-5)*(x^2-25))+(-11*(x-5))/((x-5)*(x^2-25)) = 0

2*(x^2-25)-1*(x^2-25)-11*(x-5) = 0

x^2-11*x-25+55 = 0

x^2-11*x+30 = 0

x^2-11*x+30 = 0

x^2-11*x+30 = 0

DELTA = (-11)^2-(1*4*30)

DELTA = 1

DELTA > 0

x = (1^(1/2)+11)/(1*2) or x = (11-1^(1/2))/(1*2)

x = 6 or x = 5

(x-5)*(x-6) = 0

((x-5)*(x-6))/((x-5)*(x^2-25)) = 0

((x-5)*(x-6))/((x-5)*(x^2-25)) = 0 // * (x-5)*(x^2-25)

(x-5)*(x-6) = 0

( x-5 )

x-5 = 0 // + 5

x = 5

( x-6 )

x-6 = 0 // + 6

x = 6

x in { 5} 

x = 6

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