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Ника5421
@Ника5421
July 2022
2
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Решите систему:
∫3ху=1
∫6х+у=3
ПРОШУ ПОДРОБНО,
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Удачник66
А причём тут интегралы?
Система заменой решается.
y = 3 - 6x
3x*(3 - 6x) = 1
9x - 18x^2 = 1
18x^2 - 9x + 1 = 0
D = 9^2 - 4*18*1 = 81-72 = 9
x1 = (9 - 3)/36 = 6/36 = 1/6; y1 = 3 - 6/6 = 2
x2 = (9 + 3)/36 = 12/36 = 1/3; y2 = 3 - 6/3 = 1
Ответ: (1/6; 2); (1/3; 1)
7 votes
Thanks 10
tamarabernukho
D=9-8=1
y₁=(3+1)/2=2
x₁=1/6
y₂=(3-1)/2=1
x₂=1/3
ответ (1/6;2) (1/3;1)
4 votes
Thanks 6
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Answers & Comments
Система заменой решается.
y = 3 - 6x
3x*(3 - 6x) = 1
9x - 18x^2 = 1
18x^2 - 9x + 1 = 0
D = 9^2 - 4*18*1 = 81-72 = 9
x1 = (9 - 3)/36 = 6/36 = 1/6; y1 = 3 - 6/6 = 2
x2 = (9 + 3)/36 = 12/36 = 1/3; y2 = 3 - 6/3 = 1
Ответ: (1/6; 2); (1/3; 1)
D=9-8=1
y₁=(3+1)/2=2
x₁=1/6
y₂=(3-1)/2=1
x₂=1/3
ответ (1/6;2) (1/3;1)