Предмет: Алгебра, автор: riklori1

Помогите решить систему уравнений.

{х^2 + y^2 = 74
{x - y = 2

Ответы

Автор ответа: Juliaa21

$left { {{x^2+y^2=74} atop {x-y=2}} right. \ \ 1.x-y=2 \ x=2+y \ \ 2.(2+y)^2+y^2=74 \4+4y+y^2+y^2=74 \ 2y^2+4y-70=0|:2 \ y^2+2y-35=0 \ D=4-4*1*(-35)=4+140=144 \ y1=(-2+12)/2=5 \ y2=(-2-12)/2=-7 \ \ 3. left { {{y=5} atop {x=7}} right. \ left { {{y=-7} atop {x=-5}} right.$

Ответ: (7;5)(-5;-7)

Автор ответа: riklori1

Спасибо

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