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D( x )
(0.1-x)^2 = 0
(0.1-x)^2 = 0
(0.1-x)^2 = 0
0.1-x = 0 // - 0.1
-x = -0.1 // * -1
x = 0.1
x in (-oo:0.1) U (0.1:+oo)
54.3 = ((2*x)^2)/((0.1-x)^2) // - ((2*x)^2)/((0.1-x)^2)
54.3-(((2*x)^2)/((0.1-x)^2)) = 0
(-1*4*x^2)/((0.1-x)^2)+54.3 = 0
(-1*4*x^2)/((0.1-x)^2)+(54.3*(0.1-x)^2)/((0.1-x)^2) = 0
54.3*(0.1-x)^2-1*4*x^2 = 0
50.3*x^2-10.86*x+0.543 = 0
50.3*x^2-10.86*x+0.543 = 0
50.3*x^2-10.86*x+0.543 = 0
DELTA = (-10.86)^2-(0.543*4*50.3)
DELTA = 10.86^2-109.2516
DELTA = 8.688
DELTA > 0
x = ((10.86^2-109.2516)^(1/2)+10.86)/(2*50.3) or x = (10.86-(10.86^2-109.2516)^(1/2))/(2*50.3)
x = 0.00994036*((10.86^2-109.2516)^(1/2)+10.86) or x = 0.00994036*(10.86-(10.86^2-109.2516)^(1/2))
(x-0.00994036*(10.86-(10.86^2-109.2516)^(1/2)))*(x-0.00994036*((10.86^2-109.2516)^(1/2)+10.86)) = 0
((x-0.00994036*(10.86-(10.86^2-109.2516)^(1/2)))*(x-0.00994036*((10.86^2-109.2516)^(1/2)+10.86)))/((0.1-x)^2) = 0
((x-0.00994036*(10.86-(10.86^2-109.2516)^(1/2)))*(x-0.00994036*((10.86^2-109.2516)^(1/2)+10.86)))/((0.1-x)^2) = 0 // * (0.1-x)^2
(x-0.00994036*(10.86-(10.86^2-109.2516)^(1/2)))*(x-0.00994036*((10.86^2-109.2516)^(1/2)+10.86)) = 0
( x-0.00994036*((10.86^2-109.2516)^(1/2)+10.86) )
x-0.00994036*((10.86^2-109.2516)^(1/2)+10.86) = 0 // + -0.00994036*((10.86^2-109.2516)^(1/2)+10.86)
x = -(-0.00994036*((10.86^2-109.2516)^(1/2)+10.86))
x = 0.00994036*((10.86^2-109.2516)^(1/2)+10.86)
( x-0.00994036*(10.86-(10.86^2-109.2516)^(1/2)) )
x-0.00994036*(10.86-(10.86^2-109.2516)^(1/2)) = 0 // + -0.00994036*(10.86-(10.86^2-109.2516)^(1/2))
x = -(-0.00994036*(10.86-(10.86^2-109.2516)^(1/2)))
x = 0.00994036*(10.86-(10.86^2-109.2516)^(1/2))
x in { 0.00994036*((10.86^2-109.2516)^(1/2)+10.86), 0.00994036*(10.86-(10.86^2-109.2516)^(1/2)) }
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