Назад
ГДЗ Алгебра 7 клас Тарасенкова (2024)
Роздiл 3. Одночлени i многочлени
Розв’яжіть рівняння:
1) х2 + (2 – х)(х + 1) = 0; х2 + 2х + 2 – х2 – х = 0; х = 2.
2) х2 + (4 – х)(х – 1) = 0; х2 + 4х – 4 – х2 + х = 0; 5х = 4; х = 0,8.
3) (5 – х)(х + 6) + х(х – 8) = 0; 5х + 30 – х2 – 6х + х2 – 8х = 0; 9х = 30; х = 31/3.
4) (х + 1)(x – 1) + (9 – х)(х – 2) = 0; х2 – х + х – 1 + 9х – 18 – х2 + 2х = 0; 11х = 19; х = 18/11.
5) (4 – х)(4х – 3) + (1 + 2х)(2х – 1) = 0; 16х – 12 – 4х2 + 3х + 2х – 1 + 4х2 – 2х = 0; 19х = 13; х = 13/19.
6) (х – 5)(х – 2) – (х + 1)(х + 8) = 0; х2 – 2х – 5х + 10 – х2 – 8х – х + 8 = 0; 16х = 18; х = 11/8.
7) (х – 1)(х + 1) – (х – 3)(х – 2) = 0; х2 + х – х – 1 – х2 + 2х + 3х – 6 = 0; 5х = 7; х = 12/5.
8) (х – 3)(х – 4) = (х – 8)(х – 1); х2 – 4х – 3х + 12 = х2 – х – 8х + 8; х2 – 4х – 3х – х2 + х + 8х = 8 – 12; 2х = –4; х = –2.
1) х2 + (2 – х)(х + 1) = 0; х2 + 2х + 2 – х2 – х = 0; х = 2.
2) х2 + (4 – х)(х – 1) = 0; х2 + 4х – 4 – х2 + х = 0; 5х = 4; х = 0,8.
3) (5 – х)(х + 6) + х(х – 8) = 0; 5х + 30 – х2 – 6х + х2 – 8х = 0; 9х = 30; х = 31/3.
4) (х + 1)(x – 1) + (9 – х)(х – 2) = 0; х2 – х + х – 1 + 9х – 18 – х2 + 2х = 0; 11х = 19; х = 18/11.
5) (4 – х)(4х – 3) + (1 + 2х)(2х – 1) = 0; 16х – 12 – 4х2 + 3х + 2х – 1 + 4х2 – 2х = 0; 19х = 13; х = 13/19.
6) (х – 5)(х – 2) – (х + 1)(х + 8) = 0; х2 – 2х – 5х + 10 – х2 – 8х – х + 8 = 0; 16х = 18; х = 11/8.
7) (х – 1)(х + 1) – (х – 3)(х – 2) = 0; х2 + х – х – 1 – х2 + 2х + 3х – 6 = 0; 5х = 7; х = 12/5.
8) (х – 3)(х – 4) = (х – 8)(х – 1); х2 – 4х – 3х + 12 = х2 – х – 8х + 8; х2 – 4х – 3х – х2 + х + 8х = 8 – 12; 2х = –4; х = –2.