Question

помогите даю 12 балов
розв'яжіть систему рівнянь​

Answer 1

$2x - y = 6 \\ 2x {}^{2} + y {}^{2} = 66 \\ \\ y = 2x - 6 \\ 2x {}^{2} + (2x - 6) {}^{2} = 66 \\ \\ 2x {}^{2} + 4x {}^{2} - 24x + 36 = 66 \\ 6x {}^{2} - 24x - 30 = 0 \\ x {}^{2} - 4x - 5 = 0 \\ d = ( - 4) { }^{2} + 4 \times 5 = 16 + 20 = 36 \\ x _{1} = \frac{4 - 6}{2} = - 1 \\ x _{2} = \frac{4 + 6}{2} = 5 \\ \\ y _{1} = 2 \times ( -1 ) - 6 = - 2 - 6 = - 8 \\ y _{2} = 2 \times 5 - 6 = 10 - 6 = 4$

Ответ: (-1;-8), (5;4).