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albinasupper204
@albinasupper204
July 2022
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Система х^2+у^2=41 и ху=-20
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AnonimusPro
Verified answer
Выражаем х из 2 уравнения:
x=-20/y
400/y^2+y^2=41
y^4-41y^2+400=0;
y^2=z;
z^2-41z+400=0;
D=81; z1=25; z2=16
y^2=16; y1=4; y2=-4
y^2=25; y3=5; y4=-5
x1=-20/4=-5;
x2=-20/-4=5;
x3=-20/5=-4;
x4=-20/-5=4;
Ответ: (-5;4), (5;-4), (-4;5) и (4;-5)
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Answers & Comments
Verified answer
Выражаем х из 2 уравнения:x=-20/y
400/y^2+y^2=41
y^4-41y^2+400=0;
y^2=z;
z^2-41z+400=0;
D=81; z1=25; z2=16
y^2=16; y1=4; y2=-4
y^2=25; y3=5; y4=-5
x1=-20/4=-5;
x2=-20/-4=5;
x3=-20/5=-4;
x4=-20/-5=4;
Ответ: (-5;4), (5;-4), (-4;5) и (4;-5)