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x in (-oo:+oo)
x^2-(3*x)+9/4 = 9/4+54 // - 9/4+54
x^2-(3*x)+9/4-(9/4)-54 = 0
x^2-3*x+9/4-9/4-54 = 0
x^2-3*x-54 = 0
DELTA = (-3)^2-(-54*1*4)
DELTA = 225
DELTA > 0
x = (225^(1/2)+3)/(1*2) or x = (3-225^(1/2))/(1*2)
x = 9 or x = -6
x in { -6, 9 }
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