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kurgan4545
@kurgan4545
October 2021
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сократите дробь x^2-4x+4 - числитель, а x^2+7x-18 - знаменатель
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Zhorahis2000
x² - 4x + 4 (x-2)
²
x - 2
________ = __________ = ____
x² + 7x - 18
(x - 2)
(x + 9)
x + 9.
x²+7x-18 = 0 a=1;b=7;c=-18 D = b² - 4ac D = 49 + 72 = 121 (11). x₁ = -b+√D/2a = -7+11/2 = 4/2 = 2.
x₂ = -b -
√D/2a = -7 - 11/2 = -18/2 = -9.
ax
² + bx + c = a(x - x₁)(x - x₂) = (x - 2) (x + 9).
2 votes
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Answers & Comments
________ = __________ = ____
x² + 7x - 18 (x - 2) (x + 9) x + 9.
x²+7x-18 = 0 a=1;b=7;c=-18 D = b² - 4ac D = 49 + 72 = 121 (11). x₁ = -b+√D/2a = -7+11/2 = 4/2 = 2.
x₂ = -b -√D/2a = -7 - 11/2 = -18/2 = -9.
ax² + bx + c = a(x - x₁)(x - x₂) = (x - 2) (x + 9).