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ГДЗ Алгебра 7 клас Тарасенкова (2024)
Роздiл 3. Одночлени i многочлени
Реклама:
Розв’яжіть рівняння:
1) (3 + х)2 – х2 = 0; 9 + 6x + х2 – х2 = 0; 9 + 6х = 0; 6x = –9; х = –3/2; x = –1,5;
2) (2x – 1)2 – 4x2 = 0; 4x2 – 4х + 1 – 4x2 = 0; –4х + 1 = 0; 4x = 1; x = 0,25;
3) x2 – (5 – х)2 = 0; x2 – 25 + 10x – x2 = 0; 10x = 25; х = 2,5;
4) (4x – 1)2 – 4x(4x + 1) = 1; 16x2 – 8x +1 – 16x2 – 4x = 1; –12x + 1 = 1; –12x = 0; х = 0;
5) (5 + x)2 – х(х + 5) = 0; 25 + 10x + x2 – x2 – 5x = 0; 25 + 5x = 0; 5x = –25; x = –5.
1) (3 + х)2 – х2 = 0; 9 + 6x + х2 – х2 = 0; 9 + 6х = 0; 6x = –9; х = –3/2; x = –1,5;
2) (2x – 1)2 – 4x2 = 0; 4x2 – 4х + 1 – 4x2 = 0; –4х + 1 = 0; 4x = 1; x = 0,25;
3) x2 – (5 – х)2 = 0; x2 – 25 + 10x – x2 = 0; 10x = 25; х = 2,5;
4) (4x – 1)2 – 4x(4x + 1) = 1; 16x2 – 8x +1 – 16x2 – 4x = 1; –12x + 1 = 1; –12x = 0; х = 0;
5) (5 + x)2 – х(х + 5) = 0; 25 + 10x + x2 – x2 – 5x = 0; 25 + 5x = 0; 5x = –25; x = –5.