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Rinat523214783
@Rinat523214783
July 2022
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ВикаВикторовна
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1/(х-3)² - 3/(х-3) - 4 = 0
1/(х-3)² - (3(х-3))/(х-3)² - (4(х-3)²)/(х-3)² = 0
(1-3х+9-4х²+24х-36)/(х-3)² = 0
(-4х²+21х-26)/(х-3)² = 0
ОДЗ: (х-3)²≠0; х≠3
-4х²+21х-26 = 0
4х²-21х+26 = 0
D = 441-416 = 25
x₁ = 21-5 / 8 = 2
x₂ = 21+5 / 8 = 3,25
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Rinat523214783
спасибо большое
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Answers & Comments
Verified answer
1/(х-3)² - 3/(х-3) - 4 = 01/(х-3)² - (3(х-3))/(х-3)² - (4(х-3)²)/(х-3)² = 0
(1-3х+9-4х²+24х-36)/(х-3)² = 0
(-4х²+21х-26)/(х-3)² = 0
ОДЗ: (х-3)²≠0; х≠3
-4х²+21х-26 = 0
4х²-21х+26 = 0
D = 441-416 = 25
x₁ = 21-5 / 8 = 2
x₂ = 21+5 / 8 = 3,25