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D( x )
x-8 = 0
x-8 = 0
x-8 = 0
x-8 = 0 // + 8
x = 8
x in (-oo:8) U (8:+oo)
(6*x^2-(53*x)-10)/(x-8) = 0
(6*x^2-53*x-10)/(x-8) = 0
6*x^2-53*x-10 = 0
6*x^2-53*x-10 = 0
DELTA = (-53)^2-(-10*4*6)
DELTA = 3049
DELTA > 0
x = (3049^(1/2)+53)/(2*6) or x = (53-3049^(1/2))/(2*6)
x = (3049^(1/2)+53)/12 or x = (53-3049^(1/2))/12
(x-((53-3049^(1/2))/12))*(x-((3049^(1/2)+53)/12)) = 0
((x-((53-3049^(1/2))/12))*(x-((3049^(1/2)+53)/12)))/(x-8) = 0
( x-((3049^(1/2)+53)/12) )
x-((3049^(1/2)+53)/12) = 0 // + (3049^(1/2)+53)/12
x = (3049^(1/2)+53)/12
( x-((53-3049^(1/2))/12) )
x-((53-3049^(1/2))/12) = 0 // + (53-3049^(1/2))/12
x = (53-3049^(1/2))/12
x in { (3049^(1/2)+53)/12, (53-3049^(1/2))/12 }
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