Ответ:
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Cos²α=1-5/9=4/9
cosα=-2/3
√5tgα=√5*√5/3:(-2/3)=-5/3*3/2=-5/2
(4/а^2-4 + 1/2-а) * а^2+4а+4/3 = (4/(а-2)(а+2) + 1/2-а) * (а+2)^2/3 = (-4/(2-а)(а+2) + а+2/(2-а)(а+2)) * (а+2)^2/3 = а-2/(2-а)(а+2) * (а+2)^2/3 = (а-2)(а+2)/6-3а = а^2-4/6-3а.
а = -2.3
(-2.3)^2-4/6-3(-2.3) = 1.29/12.9 = 0.1