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zaqplm
@zaqplm
June 2022
1
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Помогите решить
х^2+y^2=16
x+y+2=0
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Umnichka1
1)х^2+y^2=16
------> x^2+y^2=16 --------> x^2+y^2=16 -------> (y+2)^2+y^2=16 -->y^2+2y+4+y^2=16 -------> 2y^2+2y+4-16=0------->2y^2+2y-12=0
D=4-4*2*(-12)=4+96=100
x1=-2-корень из 100/2*2=-2-10/4=-12/4=-3
x2=-2+корень из 100/2*2=-2+10/4=8/4=2
2) x+y+2=0 ------->
x=-y-2 /*(-1) -------- > x=y+2 ----------> x=y+2 -----------------> x=y+2 ----------> x=y+2-------->x=y+2
x1=y+2 x2=y+2
-3=y+2 2=y+2
y1=-3-2 y2=2-2
y1=-5 y2=0
Ответ (-3;-5) (2;0)
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Answers & Comments
D=4-4*2*(-12)=4+96=100
x1=-2-корень из 100/2*2=-2-10/4=-12/4=-3
x2=-2+корень из 100/2*2=-2+10/4=8/4=2
2) x+y+2=0 ------->x=-y-2 /*(-1) -------- > x=y+2 ----------> x=y+2 -----------------> x=y+2 ----------> x=y+2-------->x=y+2
x1=y+2 x2=y+2
-3=y+2 2=y+2
y1=-3-2 y2=2-2
y1=-5 y2=0
Ответ (-3;-5) (2;0)