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Melony2
@Melony2
July 2022
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Решите систему уравнений.
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oganesbagoyan
Verified answer
* * * тупое решение * * *
{-17x -3y +13 =0 ; -48y = - 17x² -17y² +1237 ⇔
{x= (13-3y)17 ; 17x²+17y² -48y -1237 =0
{x= (13-3y)17 ; (13-3y)² /17+17y² -48y -1237 =0 ;
(13-3y)²/17+17y² - 48y -
1237 =0 ;
298y² -894y -20860 =0 ;
y² -3y -70 =0 * * * [ y = -7 ; y =10 . * * *
D =3² +4*1*70-=289 =17²
y₁ =(3-17)/2 = -7 ⇒x₁= (13-3*(-7)) /17 =2 ;
y₂ =(3+17)/2 =10 ⇒x
₂
= (13-3*10) /17 = -1 .
ответ : { (2 ; -7) ; (-1;10) }.
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Answers & Comments
Verified answer
* * * тупое решение * * *{-17x -3y +13 =0 ; -48y = - 17x² -17y² +1237 ⇔
{x= (13-3y)17 ; 17x²+17y² -48y -1237 =0
{x= (13-3y)17 ; (13-3y)² /17+17y² -48y -1237 =0 ;
(13-3y)²/17+17y² - 48y -1237 =0 ;
298y² -894y -20860 =0 ;
y² -3y -70 =0 * * * [ y = -7 ; y =10 . * * *
D =3² +4*1*70-=289 =17²
y₁ =(3-17)/2 = -7 ⇒x₁= (13-3*(-7)) /17 =2 ;
y₂ =(3+17)/2 =10 ⇒x₂= (13-3*10) /17 = -1 .
ответ : { (2 ; -7) ; (-1;10) }.