Question

Пожалуйста найдите X и Y с объяснением плиз ​

Answer 1

Ответ:

$(-2; -5); \quad (5; 2);$

Пошаговое объяснение:

$\left \{ {{x-y=3} \atop {x^{2}+y^{2}=29}} \right. \Leftrightarrow \left \{ {{x=y+3} \atop {x^{2}+y^{2}=29}} \right. \Leftrightarrow \left \{ {{x=y+3} \atop {(y+3)^{2}+y^{2}=29}} \right. \Leftrightarrow \left \{ {{x=y+3} \atop {y^{2}+6y+9+y^{2}-29=0}} \right. \Leftrightarrow \left \{ {{x=y+3} \atop {2y^{2}+6y-20=0}} \right. \Leftrightarrow$$\Leftrightarrow \left \{ {{x=y+3} \atop {y^{2}+3y-10=0}} \right. \Leftrightarrow \left \{ {{x=y+3} \atop {(y-2)(y+5)=0}} \right. \Leftrightarrow \left \{ {{x=y+3} \atop {y-2=0}} \right. \vee \left \{ {{x=y+3} \atop {y+5=0}} \right. \Leftrightarrow \left \{ {{x=y+3} \atop {y=2}} \right. \vee \left \{ {{x=y+3} \atop {y=-5}} \right. \Leftrightarrow$

$\Leftrightarrow \left \{ {{x=2+3} \atop {y=2}} \right. \vee \left \{ {{x=-5+3} \atop {y=-5}} \right. \Leftrightarrow \left \{ {{x=5} \atop {y=2}} \right. \vee \left \{ {{x=-2} \atop {y=-5}} \right. ;$

$(-2; -5); \quad (5; 2);$