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theseon
@theseon
August 2022
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Иррациональные уравнения
ПОМОГИТЕ РЕШИТЬ,ПОЖАЛУЙСТА
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MizoriesKun
(√6+√14)² 6+2√84+14 20+2√84 2*(10+√84)
---------------- = -------------------- = --------------- = --------------------- =2
10+√84 10+√84 10+√84 10+√84
-___________________________________________________________
∛3 *∛18 ∛54 ∛(27*2) 3∛2
-------------- = ---------- = ----------- = ------------ =3
∛2 ∛2 ∛2 ∛2
________________________________________________________
⁴√64* ⁸√64=⁴√2⁶* ⁸√2⁶ =2⁶/₄ *2 ⁶/₈ =2⁶/₄⁺⁶/₈ =2¹⁸/₈= 2⁹/₄=2² ¹/₄=4 ⁴√2
_________________________________________________________
√(55-3х)=7 ∛(х+5)=5
√(55-3х)²=7 ² ∛(х+5)³=5³
(55-3х)=49 х+5 =125
55-49=3х х=120
6=3х
х=2
________________________________________________________
√(-63-16х)=-х -63-16х≥0 -63≥16х х≤-63/16 х≤ -3 15/16
√(-63-16х)²=-х ²
(-63-16х)=х²
х²+63+16х =0
D= 256- 252=4
x₁=(-16+2)/2=-7
x₂=(-16-2)/2=-9 это меньший ответ
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Answers & Comments
---------------- = -------------------- = --------------- = --------------------- =2
10+√84 10+√84 10+√84 10+√84
-___________________________________________________________
∛3 *∛18 ∛54 ∛(27*2) 3∛2
-------------- = ---------- = ----------- = ------------ =3
∛2 ∛2 ∛2 ∛2
________________________________________________________
⁴√64* ⁸√64=⁴√2⁶* ⁸√2⁶ =2⁶/₄ *2 ⁶/₈ =2⁶/₄⁺⁶/₈ =2¹⁸/₈= 2⁹/₄=2² ¹/₄=4 ⁴√2
_________________________________________________________
√(55-3х)=7 ∛(х+5)=5
√(55-3х)²=7 ² ∛(х+5)³=5³
(55-3х)=49 х+5 =125
55-49=3х х=120
6=3х
х=2
________________________________________________________
√(-63-16х)=-х -63-16х≥0 -63≥16х х≤-63/16 х≤ -3 15/16
√(-63-16х)²=-х ²
(-63-16х)=х²
х²+63+16х =0
D= 256- 252=4
x₁=(-16+2)/2=-7
x₂=(-16-2)/2=-9 это меньший ответ