1.Yechish:
X8+x+1=(x8+x7+x6)-(x7+x6+x5)+(x5+x4+x3)-(x4+x3+x2)+(x2+x+1)= x6(x2+x+1)-
-x5(x2+x+1)+x3(x2+x+1)-x2(x2+x+1)+ (x2+x+1)=(x6-x5+x3-x2+1) (x2+x+1).
- Yechish:
<RLS=80%<PLR , <PLR= x deylik , u holda <RLS= 0,8x bo’ladi.Tenglama tuzamiz: x+0,8x= 180; 1,8x= 180; x= 180:1,8= 100; 180-100= 80;
Javob: 1000; 800.
- Yechish:
= 24= 16 ⇒ 222>
;
222= 24 ⋅218= 16⋅ 218 > ;
222= 29 ⋅213= 512⋅ 213>222, chunki 222 =484. Javob: 222> 222> .
- Javob: 45 va 90.
- Yechish:(a2-9)x=7a2-20a-3; (a-3)(a+3)x= (7a+1)(a-3). Bundan:
Javob: a=3 da , x∈ R; a= -3 da , ildizi yo’q; a ±≠3 da .
- Yechish:
y= ax+5; M(-3;2) M ning koordinatalarini tenglikka qo’yamiz, unda
a (-3)+5=2; a=1; J: a= 1.
7.Yechish:
belgilash kiritamiz , u holda
Bu yerdan a= 0,25; b= 0,05 topilganlarni o’rniga qo’yilsa, x=6; y= 2 chiqadi. Javob: x=6; y=2.
8.Yechish:
(x+3)(y-2)=0; Tenglamaning ildizlari x=-3 va y=2 . Grafik x=-3 oy o’qiga parallel va ox o’qida x=-3dan o’tadigan to’g’ri chiziq. y= 2 to’g’ri chiziq esa, oy da y=2 dan o’tuvchi ox o’qiga paralleldir.
9.Yechish:
; 9x= 896-7x; 16x=896; x= 56; 128-56=72; J: 56; 72.
- Yechish: