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faa7
@faa7
August 2022
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решите уравнение:
(х-2)(х-3)(х-4)=(х-2)(х-3)(х-5)
огэ, часть 2
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Ilushentsiy048
(x - 2) (x - 3) (x - 4) = (x - 2) (x - 3) (x - 5)
x^3 - 9 x^2 + 26 x - 24 = (x - 5) (x - 3) (x - 2)
x^3 - 9 x^2 + 26 x - 24 = x^3 - 10 x^2 + 31 x - 30
x^2 - 5 x + 6 = 0
(x - 3) (x - 2) = 0
x - 3 = 0 or x - 2 = 0
x = 3 or x - 2 = 0
x = 3 или x = 2
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Answers & Comments
x^3 - 9 x^2 + 26 x - 24 = (x - 5) (x - 3) (x - 2)
x^3 - 9 x^2 + 26 x - 24 = x^3 - 10 x^2 + 31 x - 30
x^2 - 5 x + 6 = 0
(x - 3) (x - 2) = 0
x - 3 = 0 or x - 2 = 0
x = 3 or x - 2 = 0
x = 3 или x = 2