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olifediez
@olifediez
July 2022
2
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система:
x²+y²=17
x-y=3
помогите пожалуйста)
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ПрофиЗнания
X=3+y
9+6y+y²+y²=17
2y²+6y-8=0
y²+3y-4=0
D=9+16=25=5²
y1=-3+5/2=1
y2=-3-5/2=-4
x1=1+3=4
x2=-4+3=-1
Ответ: (4;1)∪(-1;-4)
4 votes
Thanks 13
rubilovalex
X=y+3. подставляем во 2 уравнение: (y+3)^2+y^2=17; y^2+y^2+6y+9-17=0; 2y^2+6y-8=0; D=6^2-4*2*(-8)=36+64=100; y1=(-6-10)/4, y2=(-6+10)/4. y1= -4, y2=1. x1= -4+3= -1, x2=1+3=4. Ответ: (-1:-4), (4:1).
5 votes
Thanks 8
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Answers & Comments
9+6y+y²+y²=17
2y²+6y-8=0
y²+3y-4=0
D=9+16=25=5²
y1=-3+5/2=1
y2=-3-5/2=-4
x1=1+3=4
x2=-4+3=-1
Ответ: (4;1)∪(-1;-4)