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ViktoriaMadrid
@ViktoriaMadrid
June 2022
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Найдите корни уравнения (3х-√3х-2)(х+12)=0
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TARTILLO
Verified answer
Скорее так
(3х-√(3х)-2)(х+12)=0
ОДЗ x
≥0
1) х+12=0 ⇒x=-12∉ОДЗ
2) (3х-√(3х)-2)=0 √(3х)=t ≥0
t²-t-2=0 t1=2 t2=-1 -посторонний корень
√(3х)=2 ⇒ 3x=4 ⇔x=4/3
проверка
(3·4/3-√(3·4/3)-2)(4/3+12)=0
(4-2-2)·(4/3+12)=0·(4/3+12)=0
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Answers & Comments
Verified answer
Скорее так(3х-√(3х)-2)(х+12)=0
ОДЗ x≥0
1) х+12=0 ⇒x=-12∉ОДЗ
2) (3х-√(3х)-2)=0 √(3х)=t ≥0
t²-t-2=0 t1=2 t2=-1 -посторонний корень
√(3х)=2 ⇒ 3x=4 ⇔x=4/3
проверка
(3·4/3-√(3·4/3)-2)(4/3+12)=0
(4-2-2)·(4/3+12)=0·(4/3+12)=0