Роздiл 3. Одночлени i многочлени » 589 (1-3)
Розв’яжіть рівняння: 1) а3 – а = 0; a(a2 – 1) = 0; a = 0; a2 – 1 = 0; a2 = 1; a = 1; a = –1. 2) –16b4 + b2 = 0; b2 – 16b4 = 0; (b – 4b2)(b + 4b2) = 0; b – 4b2 = 0; b(1 – 4b) = 0; b = 0; 1 – 4b = 0; 4b = 1; b = 0,25; b + 4b2 = 0; b(1 + 4b) = 0; b = 0; 1 + 4b = 0; 4b = –1; b = –0,25. 3) 4x5 – 4х = 0; 4x(x4 – 1) = 0; 4x = 0; x = 0; x4 – 1 = 0; x4 = 1; x = –1; x = 1.