[tex] {x}^{2} - y = - 1 \\ x + y = 3 \\ \\ {x}^{2} - (3 - x) = - 1 \\ y = 3 - x [/tex]
[tex] {x}^{2} - (3 - x) = - 1 \\ {x}^{2} + x - 3 + 1 = 0 \\ {x}^{2} + x - 2 = 0 \\ x_{1} + x_{2} = - 1 \\ x_{1} \times x_{2} = - 2 \\ x_{1} = - 2 \\ x_{2} = 1[/tex]
[tex]y_{1} = 3 - ( - 2 ) = 3 + 2 = 5 \\ y_{2} = 3 - 1 = 2[/tex]
Ответ: В) (-2 ; 5) и (1 ; 2)
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[tex] {x}^{2} - y = - 1 \\ x + y = 3 \\ \\ {x}^{2} - (3 - x) = - 1 \\ y = 3 - x [/tex]
[tex] {x}^{2} - (3 - x) = - 1 \\ {x}^{2} + x - 3 + 1 = 0 \\ {x}^{2} + x - 2 = 0 \\ x_{1} + x_{2} = - 1 \\ x_{1} \times x_{2} = - 2 \\ x_{1} = - 2 \\ x_{2} = 1[/tex]
[tex]y_{1} = 3 - ( - 2 ) = 3 + 2 = 5 \\ y_{2} = 3 - 1 = 2[/tex]
Ответ: В) (-2 ; 5) и (1 ; 2)