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D( x )
x-10 = 0
x-10 = 0
x-10 = 0
x-10 = 0 // + 10
x = 10
x in (-oo:10) U (10:+oo)
(x+1)/(x-10)+x = (6*x-49)/(x-10) // - (6*x-49)/(x-10)
(x+1)/(x-10)-((6*x-49)/(x-10))+x = 0
(x+1)/(x-10)+(-1*(6*x-49))/(x-10)+x = 0
(x+1)/(x-10)+(-1*(6*x-49))/(x-10)+(x*(x-10))/(x-10) = 0
x*(x-10)-1*(6*x-49)+x+1 = 0
x^2-5*x-10*x+50 = 0
x^2-15*x+50 = 0
x^2-15*x+50 = 0
x^2-15*x+50 = 0
DELTA = (-15)^2-(1*4*50)
DELTA = 25
DELTA > 0
x = (25^(1/2)+15)/(1*2) or x = (15-25^(1/2))/(1*2)
x = 10 or x = 5
(x-5)*(x-10) = 0
((x-5)*(x-10))/(x-10) = 0
((x-5)*(x-10))/(x-10) = 0 // * x-10
(x-5)*(x-10) = 0
( x-10 )
x-10 = 0 // + 10
x = 10
( x-5 )
x-5 = 0 // + 5
x = 5
x in { 10}
x = 5
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