Question

Решите систему уравнений
5х^2 + y^2=36
10x^2 + 2y^2=36x

Answer 1

$left { {5x^2+y^2=36} atop {10x^2+2y^2=36x}} right. \ left { {5x^2+y^2=36}} atop {5x^2+y^2=18x}} right. \ 18x=36 \ x=2 \ 20+y^2=36 \ y^2=16 \ y_1=4 \ y_2=-4$

Ответ: $(x_1;y_1)=(2;4), (x_2;y_2)=(2;-4)$

Answer 2

5х²+у²=36 (1)
10х²+2у²=36х (2)
5х²+у²=36 (1)
5х²+у²=18х (2) (делили на 2)
36=18х
х=2
у=4
у=-4