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D( x )
6-2*x^2 = 0
6-2*x^2 = 0
6-2*x^2 = 0
-2*x^2 = -6 // : -2
x^2 = 3
x^2 = 3 // ^ 1/2
abs(x) = 3^(1/2)
x = 3^(1/2) or x = -3^(1/2)
x in (-oo:-3^(1/2)) U (-3^(1/2):3^(1/2)) U (3^(1/2):+oo)
x/(6-2*x^2) = 1/80 // - 1/80
x/(6-2*x^2)-(1/80) = 0
x/(6-2*x^2)-1/80 = 0
(80*x)/(80*(6-2*x^2))+(-1*(6-2*x^2))/(80*(6-2*x^2)) = 0
80*x-1*(6-2*x^2) = 0
2*x^2+80*x-6 = 0
2*x^2+80*x-6 = 0
2*(x^2+40*x-3) = 0
x^2+40*x-3 = 0
DELTA = 40^2-(-3*1*4)
DELTA = 1612
DELTA > 0
x = (1612^(1/2)-40)/(1*2) or x = (-1612^(1/2)-40)/(1*2)
x = (2*403^(1/2)-40)/2 or x = (-2*403^(1/2)-40)/2
2*(x-((-2*403^(1/2)-40)/2))*(x-((2*403^(1/2)-40)/2)) = 0
(2*(x-((-2*403^(1/2)-40)/2))*(x-((2*403^(1/2)-40)/2)))/(80*(6-2*x^2)) = 0
(2*(x-((-2*403^(1/2)-40)/2))*(x-((2*403^(1/2)-40)/2)))/(80*(6-2*x^2)) = 0 // * 80*(6-2*x^2)
2*(x-((-2*403^(1/2)-40)/2))*(x-((2*403^(1/2)-40)/2)) = 0
( x-((-2*403^(1/2)-40)/2) )
x-((-2*403^(1/2)-40)/2) = 0 // + (-2*403^(1/2)-40)/2
x = (-2*403^(1/2)-40)/2
( x-((2*403^(1/2)-40)/2) )
x-((2*403^(1/2)-40)/2) = 0 // + (2*403^(1/2)-40)/2
x = (2*403^(1/2)-40)/2
x in { (-2*403^(1/2)-40)/2, (2*403^(1/2)-40)/2 }
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