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a in (-oo:+oo)
(a-(2/3))^2 = 48/25 // - 48/25
(a-(2/3))^2-(48/25) = 0
(a-2/3)^2-48/25 = 0
(25*(a-2/3)^2)/25-48/25 = 0
25*(a-2/3)^2-48 = 0
25*a^2-100/3*a-332/9 = 0
25*a^2-100/3*a-332/9 = 0
25*a^2-100/3*a-332/9 = 0
DELTA = (-100/3)^2-(-332/9*4*25)
DELTA = 4800
DELTA > 0
a = (4800^(1/2)+100/3)/(2*25) or a = (100/3-4800^(1/2))/(2*25)
a = (40*3^(1/2)+100/3)/50 or a = (100/3-40*3^(1/2))/50
(a-((100/3-40*3^(1/2))/50))*(a-((40*3^(1/2)+100/3)/50)) = 0
((a-((100/3-40*3^(1/2))/50))*(a-((40*3^(1/2)+100/3)/50)))/25 = 0
((a-((100/3-40*3^(1/2))/50))*(a-((40*3^(1/2)+100/3)/50)))/25 = 0 // * 25
(a-((100/3-40*3^(1/2))/50))*(a-((40*3^(1/2)+100/3)/50)) = 0
( a-((100/3-40*3^(1/2))/50) )
a-((100/3-40*3^(1/2))/50) = 0 // + (100/3-40*3^(1/2))/50
a = (100/3-40*3^(1/2))/50
( a-((40*3^(1/2)+100/3)/50) )
a-((40*3^(1/2)+100/3)/50) = 0 // + (40*3^(1/2)+100/3)/50
a = (40*3^(1/2)+100/3)/50
a in { (100/3-40*3^(1/2))/50, (40*3^(1/2)+100/3)/50 }
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