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gvladikp0ix8k
@gvladikp0ix8k
May 2022
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система y+4x=6
x^2+3xy-y^2=3
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sedinalana
Verified answer
Y=6-4x
x²+3x*(6-4x)-(6-4x)²-3=0
x²+18x-12x²-36+48x-16x²-3=0
-27x²+66x-39=0 /:(-3)
9x²-22x+13=0
D=484-468=16
x1=(22-4)/18=1⇒y1=6-4*1=6-4=2
x2=(22+4)/18=13/9⇒y2=6-4*13/9=(54-52)/9=2/9
Ответ (1;2);(13/9;2/9)
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Answers & Comments
Verified answer
Y=6-4xx²+3x*(6-4x)-(6-4x)²-3=0
x²+18x-12x²-36+48x-16x²-3=0
-27x²+66x-39=0 /:(-3)
9x²-22x+13=0
D=484-468=16
x1=(22-4)/18=1⇒y1=6-4*1=6-4=2
x2=(22+4)/18=13/9⇒y2=6-4*13/9=(54-52)/9=2/9
Ответ (1;2);(13/9;2/9)