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snezhana2801011
@snezhana2801011
September 2021
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решите уравнение.Я бы дала больше баллов,но я незнаю как!(((
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verakryuchenko
Пусть х -1/х = t тогда х^2 +(1/ x^2) = t^2 +2 t^2 +2 - 1/2t = 7/2 t^2 +2 -1/2 t -7/2 = 0 2 t^2 - t -3 = 0 D = 1 - 2*4*(-3) =25 t = - 1,или t = 1,5 вернемся к замене х -1/х = -1 или х -1/х = 1,5 х^2 - 1 = -x или х^2 -1 = 1,5x x^2 +x -1= 0 или x^2 - 1,5x -1 = 0 D = 1+ 4 =5 или D = 2,25 +4 =6,25 x = (-1 +корень из 5)/2 х = (1,5+2,5)/2 = 2 х = (-1 - кореньиз5)/2 х= (1,5 - 2,5) /2 = - 0,5
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