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x in (-oo:+oo)
(x-(3/2))^2-(5/4) = 0
(x-3/2)^2-5/4 = 0
(4*(x-3/2)^2)/4-5/4 = 0
4*(x-3/2)^2-5 = 0
4*x^2-12*x+4 = 0
4*x^2-12*x+4 = 0
4*(x^2-3*x+1) = 0
x^2-3*x+1 = 0
DELTA = (-3)^2-(1*1*4)
DELTA = 5
DELTA > 0
x = (5^(1/2)+3)/(1*2) or x = (3-5^(1/2))/(1*2)
x = (5^(1/2)+3)/2 or x = (3-5^(1/2))/2
4*(x-((3-5^(1/2))/2))*(x-((5^(1/2)+3)/2)) = 0
(4*(x-((3-5^(1/2))/2))*(x-((5^(1/2)+3)/2)))/4 = 0
(4*(x-((3-5^(1/2))/2))*(x-((5^(1/2)+3)/2)))/4 = 0 // * 4
4*(x-((3-5^(1/2))/2))*(x-((5^(1/2)+3)/2)) = 0
( 4 )
4 = 0
x belongs to the empty set
( x-((3-5^(1/2))/2) )
x-((3-5^(1/2))/2) = 0 // + (3-5^(1/2))/2
x = (3-5^(1/2))/2
( x-((5^(1/2)+3)/2) )
x-((5^(1/2)+3)/2) = 0 // + (5^(1/2)+3)/2
x = (5^(1/2)+3)/2
x in { (3-5^(1/2))/2, (5^(1/2)+3)/2 }
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