Question

Решите систему уравнений используя способ сложения. 81 (а б)Срочноо!!!

Answer 1

Ответ:

a)(1,3), (1,-3), (-1,3), (-1,-3)

b)(2,5), (2,-5), (-2,5), (-2,-5)

Объяснение:

$a)\left \{ {{x^2-y^2=8} \atop {x^2+y^2=10}} \right. \Rightarrow \left \{ {{x^2-y^2=8} \atop {2x^2=18}} \right. \Rightarrow \left \{ {{x^2-y^2=8} \atop {x^2=9}} \right. \Rightarrow \left \{ {{9-y^2=8} \atop {x^2=9}} \right. \Rightarrow \left \{ {{-y^2=-1} \atop {x^2=9}} \right. \Rightarrow \left \{ {{y=\pm1} \atop {x=\pm3}} \right.$

$b) \left \{ {{x^2+y^2=29} \atop {x^2-y^2=21}} \right. \Rightarrow \left \{ {{x^2+y^2=29} \atop {2x^2=50}} \right. \Rightarrow \left \{ {{x^2+y^2=29} \atop {x^2=25}} \right. \Rightarrow \left \{ {{24+y^2=8} \atop {x^2=25}} \right. \Rightarrow \left \{ {{y^2=4} \atop {x^2=25}} \right. \Rightarrow \left \{ {{y=\pm2} \atop {x=\pm5}} \right.$