Question

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Запиши решение задания
Реши систему уравнений begin{cases} x-7=y;
{ x² / 2-2xy-y² / 2=23,5+x. end{cases}

Answer 1

Ответ:

$x - 7 = y \\ \frac{ {x}^{2} }{2} - 2xy - \frac{ {y}^{2} }{2} = 23.5 + x \\ \\ x - 7 = y \\ {x}^{2} - 4xy - {y}^{2} = 47 + 2x \\ \\ x - 7 = y \\ {x}^{2} - 2x - 4x(x - 7) - {(x - 7)}^{2} = 47 \\ \\ x - 7 = y\\ {x}^{2} - 2x - 4 {x}^{2} + 28x - {x}^{2} + 14x - 49 = 47 \\ \\ x - 7 = y \\ - 4 {x}^{2} + 40x - 96 = 0 \\ \\ x - 7 = y \\ {x}^{2} - 10x + 24 = 0 \\ \\ x - 7 = y \\ x1x2 = 24 \\ x1 + x2 = 10 \\ \\ x - 7 = y\\ x1 = 6 \\ x2 = 4 \\ \\ x1 = 6 \\ y1 = - 1 \\ x2 = 4 \\ y2 = - 3$