Решить систему {3x^2+2y^2=45 {9x^2+6y^2=45x

Question

Решить систему
{3x^2+2y^2=45
{9x^2+6y^2=45x

Answer 1

Y^2=45-3x^2/2
9x^2+6(45-3x^2/2)=45x

9x^2+270-18x^2/2=45x
18x^2+270-18x^2=90x
90x=270
x=3

y^2=45-3*3^2/2=9
y=-+3
Otvet:(3;3);(3;-3).