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D( x )
2*x-8 = 0
x-4 = 0
2*x-8 = 0
2*x-8 = 0
2*x-8 = 0 // + 8
2*x = 8 // : 2
x = 8/2
x = 4
x-4 = 0
x-4 = 0
x-4 = 0 // + 4
x = 4
x in (-oo:4) U (4:+oo)
20/(2*x-8)+1/(x-4) = 11/2 // - 11/2
20/(2*x-8)+1/(x-4)-(11/2) = 0
20/(2*x-8)+1/(x-4)-11/2 = 0
(2*20*(x-4))/(2*(2*x-8)*(x-4))+(1*2*(2*x-8))/(2*(2*x-8)*(x-4))+(-11*(2*x-8)*(x-4))/(2*(2*x-8)*(x-4)) = 0
2*20*(x-4)+1*2*(2*x-8)-11*(2*x-8)*(x-4) = 0
44*x-22*x^2+176*x-352-176 = 0
220*x-22*x^2-528 = 0
220*x-22*x^2-528 = 0
22*(10*x-x^2-24) = 0
10*x-x^2-24 = 0
DELTA = 10^2-(-24*(-1)*4)
DELTA = 4
DELTA > 0
x = (4^(1/2)-10)/(-1*2) or x = (-4^(1/2)-10)/(-1*2)
x = 4 or x = 6
22*(x-4)*(x-6) = 0
(22*(x-4)*(x-6))/(2*(2*x-8)*(x-4)) = 0
(22*(x-4)*(x-6))/(2*(2*x-8)*(x-4)) = 0 // * 2*(2*x-8)*(x-4)
22*(x-4)*(x-6) = 0
( x-4 )
x-4 = 0 // + 4
x = 4
( x-6 )
x-6 = 0 // + 6
x = 6
x in { 4}
x = 6
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