Question

Важно подробное решение

Answer 1

$\left \{ {{x^2+y^2=17} \atop {y=-x+5}} \right. \\\ (5-x)^2+x^2=17 \\\ 25-10x+x^2+x^2=17 \\\ 2x^2-10x+8=0 \\\ x^2-5x+4=0 \\\ D=5^2-4\cdot4=9 \\\ x_1= \frac{5+3}{2} =4 \\\ x_2= \frac{5-3}{2} =1 \\\ y_1=-4+5=1 \\\ y_2=-1+5=4$
Ответ: (4; 1); (1; 4)