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S in (-oo:+oo)
4*S^2+(4/9)*S-9 = 0
4*S^2+4/9*S-9 = 0
DELTA = (4/9)^2-(-9*4*4)
DELTA = 11680/81
DELTA > 0
S = ((11680/81)^(1/2)-4/9)/(2*4) or S = (-(11680/81)^(1/2)-4/9)/(2*4)
S = ((11680/81)^(1/2)-4/9)/8 or S = (-((11680/81)^(1/2)+4/9))/8
S in { (-((11680/81)^(1/2)+4/9))/8, ((11680/81)^(1/2)-4/9)/8 }
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