1) t =((3- 2x)/(5x+1))² ;
t = 82/9 - 1/t ;
t +1/t = 82/9 ; **** [ t² - 82/9t +1 =0] ***
t +1/t =9 +1/9 ;
[ t =9 ; t =1/9.
a) ((3- 2x)/(5x+1))² =9 .
[(3- 2x)/(5x+1) = - 3 ;(3- 2x)/(5x+1) = 3 . [ x = -6/13 ;x =0.
b) ((3- 2x)/(5x+1))² =1/9.
[(3- 2x)/(5x+1) = -1/ 3 ;(3- 2x)/(5x+1) = 1/3. [ x = 10 ; x =8/11.
ответ : - 6/13 ;0 ; 8/11 ;10.
2) (x/(x-1))² + (x/(x +1))² =45/16;
(x/(x -1) + x/(x+1))² - 2*x/(x-1)*x/(x+1) =45/16 ;
(2x²/(x² -1))² -2x²/(x² -1) =45/16 ;
t =2x²/(x² -1);
t² - t -45/16 =0;
t₁ = -5/4 ;
t₂ = 9/4 .
a) 2x²/(x² -1) = -5/4 не имеет решения ю
b) 2x²/(x² -1) = 9/4 ⇒ x ₁= - 3 ; x₂ =3;
ответ : - 3 ;3 .
------------------------------- или ---------------------------
(1+1/(x-1))² + (1 - 1/(x+1))² =45/16 ;
. . .
2Х + 3Y = - 12
2X = - 12 - 3Y
4X = - 24 - 6Y
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4X - 6Y = 0
4X = 6Y
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4X = 4X
- 24 - 6Y = 6Y
12Y = - 24
Y = - 2
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4X = 6Y
4X = - 12
X = - 3
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Ответ ( - 3 ; - 2 )
S8=70 т.к. и а1=16
S19=110 по той же формуле
9(х+1)-2(2-3х)=-10
9х+9-4+6х=-10
9х+6х=-10-9+4
9х+6х=-15
15х=-15
х= -15 : 15
х= -1
х= 1
разбиваем слагаемые на группы