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ГДЗ Алгебра 7 клас Тарасенкова (2024)
Роздiл 3. Одночлени i многочлени
Реклама:
Розв’яжіть рівняння:
1) (х + 2)2 – 36 = 0; (х + 2 + 6)(х + 2 – 6) = 0; х + 8 = 0; х = –8; х – 4 = 0; х = 4.
2) (2х – 1)2 – 4 = 0; (2х – 1 + 2)(2х – 1 – 2) = 0; 2х + 1 = 0; 2х = –1; х = –0,5; 2х – 3 = 0; 2х = 3; х = 1,5.
3) х2 – (6 + х)2 = 9х; (х + 6 + х)(х – 6 – х) – 9х = 0; –6(2х + 6) – 9х = 0; –12х – 9х – 36 = 0; –21х = 36; х = –15/7.
4) 25х2 – (7 – 5х)2 = 14х; (5х + 7 – 5х)(5х – 7 + 5х) – 14х = 0; 7(10х – 7) – 14х = 0; 70х – 49 – 14х = 0; 56х = 49; х = 49/56.
1) (х + 2)2 – 36 = 0; (х + 2 + 6)(х + 2 – 6) = 0; х + 8 = 0; х = –8; х – 4 = 0; х = 4.
2) (2х – 1)2 – 4 = 0; (2х – 1 + 2)(2х – 1 – 2) = 0; 2х + 1 = 0; 2х = –1; х = –0,5; 2х – 3 = 0; 2х = 3; х = 1,5.
3) х2 – (6 + х)2 = 9х; (х + 6 + х)(х – 6 – х) – 9х = 0; –6(2х + 6) – 9х = 0; –12х – 9х – 36 = 0; –21х = 36; х = –15/7.
4) 25х2 – (7 – 5х)2 = 14х; (5х + 7 – 5х)(5х – 7 + 5х) – 14х = 0; 7(10х – 7) – 14х = 0; 70х – 49 – 14х = 0; 56х = 49; х = 49/56.