Автор - krosh2702

Помогите, пожалуйста, решить уравнения

Ответ

Автор - michindjeva

 sqrt[3]{24 +  sqrt{ {x}^{2} + 5 } }  = 3\ 24 +  sqrt{ {x}^{2}  + 5}  = 27 \  sqrt{x {}^{2}  + 5}  = 27 - 24 = 3 \  {x}^{2}  + 5 = 9 \  {x}^{2}  = 4 \ x1 = 2 \ x2 =  - 2
 sqrt{11 -  sqrt[3]{ {x}^{2} + 7 } }  = 3 \ 11 -  sqrt[3]{ {x}^{2}  + 7}  = 9 \  sqrt[3]{ {x}^{2}  + 7 }  = 2 \  {x }^{2}  + 7 = 8 \  {x}^{2}  = 1 \ x1 = 1 \ x2 =  - 1
5 - x -  sqrt{x + 7}  = 0 \ 5 - x =   sqrt{x + 7}  \ 25 - 10x +  {x}^{2}  = x + 7 \  {x }^{2}  - 11x + 18 = 0 \ x1 = 9 \ x2 = 2
x1 не подходит. т. к х<=5

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