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LizOK2599
@LizOK2599
August 2022
1
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решите системы уравнение, срочно!!
1.
x/y +2y/x=3
5x-y=6
2.
x^2-2xy+y^2=49
x-3y=1
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mamavpomoch
Х/у+2у/х=3
5х-у=6
х^2+2y^2/xy=3
y=5x-6
x^2+2(5x-6)^2/x(5x-6)=3
x^2+2(25x^2-60x+36)=3x(5x-6)
36x^2-102x+72=0
6x^2-17x+12=0
D=289-288=1
x1=18/12=3/2
x2=16/12=4/3
y1=5*3/2-6=3/2
y2=5*4/3-6=2/3
Ответ: х1=3/2 х2=4/3
у1=3/2 у2=2/3
2) x^2-2xy+y^2=49
x-3y=1
x=1+3y
(1+3y)^2-2(1+3y)y+y^2=49
4y^2+4y-48=0
y^2+y-12=0
D=1+48=49
y1=(-1+7)/2=3
y2=(-1-7)/2=-4
x1=1+3*3=10
x2=1-3*4=-11
Ответ: х1=10 х2=-4
у1=3 у2=-11
2 votes
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Answers & Comments
5х-у=6
х^2+2y^2/xy=3
y=5x-6
x^2+2(5x-6)^2/x(5x-6)=3
x^2+2(25x^2-60x+36)=3x(5x-6)
36x^2-102x+72=0
6x^2-17x+12=0
D=289-288=1
x1=18/12=3/2
x2=16/12=4/3
y1=5*3/2-6=3/2
y2=5*4/3-6=2/3
Ответ: х1=3/2 х2=4/3
у1=3/2 у2=2/3
2) x^2-2xy+y^2=49
x-3y=1
x=1+3y
(1+3y)^2-2(1+3y)y+y^2=49
4y^2+4y-48=0
y^2+y-12=0
D=1+48=49
y1=(-1+7)/2=3
y2=(-1-7)/2=-4
x1=1+3*3=10
x2=1-3*4=-11
Ответ: х1=10 х2=-4
у1=3 у2=-11