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sinusoida2000
@sinusoida2000
July 2022
2
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РЕБЯТА,ПОЖАЛУЙСТА,ПОМОГИТЕ ..ДАЮ 50 БАЛЛОВ
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ShirokovP
Verified answer
См документ
================================
2 votes
Thanks 1
sinusoida2000
ОГРОМНОЕ СПАСИБО:)
oganesbagoyan
Verified answer
{ x² +xy -2y² -x + y = 0 ; x²+y² =8 .⇔
{(x-y)² +3xy- 3y² -x + y=0 ; x²+y² =8 ⇔{(x-y)² +3y(x- y) -(x - y)=0 ; x²+y² =8 .⇔
{(x-y)(x-y +3y -1)=0 ; x²+y² =8 .⇔{(x-y)(x+ 2y -1)=0 ; x²+y² =8 .
a) { x-y =0 ; x² +y² =8
⇒ x=y =
±2.
--
b)
{
x+ 2y -1=0 ; x²+y² =8
⇔ { x=1 -2y ; (1 -2y)²+y² =8 .
(1 -2y)²+y² =8 ;
5y² -4y -7 =0 ; D/4 =(4/2)² -5*(-7) =39
y =( 2±√39) /5 ;
y₁=( 2+ √39 ) / 5
⇒
x₁
= 1 -2( 2 + √39 ) / 5
=(1-2√39) /5
;
y₂ =( 2 -√39 ) / 5
⇒
x₂
=1- 2( 2 - √39 ) / 5
= (1+2√39) /5
.
ответ : .
{( -2; -2) , (2;2) , ((1-2√39) /5 ; ( 2+ √39 ) / 5 ) ,( (2 -√39 ) / 5 ;(1+2√39) /5) }
1 votes
Thanks 2
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Answers & Comments
Verified answer
См документ================================
Verified answer
{ x² +xy -2y² -x + y = 0 ; x²+y² =8 .⇔{(x-y)² +3xy- 3y² -x + y=0 ; x²+y² =8 ⇔{(x-y)² +3y(x- y) -(x - y)=0 ; x²+y² =8 .⇔
{(x-y)(x-y +3y -1)=0 ; x²+y² =8 .⇔{(x-y)(x+ 2y -1)=0 ; x²+y² =8 .
a) { x-y =0 ; x² +y² =8 ⇒ x=y =±2.
--
b) { x+ 2y -1=0 ; x²+y² =8 ⇔ { x=1 -2y ; (1 -2y)²+y² =8 .
(1 -2y)²+y² =8 ;
5y² -4y -7 =0 ; D/4 =(4/2)² -5*(-7) =39
y =( 2±√39) /5 ;
y₁=( 2+ √39 ) / 5 ⇒ x₁= 1 -2( 2 + √39 ) / 5 =(1-2√39) /5 ;
y₂ =( 2 -√39 ) / 5 ⇒ x₂ =1- 2( 2 - √39 ) / 5 = (1+2√39) /5 .
ответ : .
{( -2; -2) , (2;2) , ((1-2√39) /5 ; ( 2+ √39 ) / 5 ) ,( (2 -√39 ) / 5 ;(1+2√39) /5) }