189 (2,4,6) Решите, пожалуйста
2) x⁴ - 20x² + 64 = 0 x² = t t² - 20t + 64 = 0 D = 400 - 256 = 144 √D = 12 t₁ = (20-12)/2 = 4 t₂ = (20+12)/2 = 16 x² = 4 x² = 16 x = +-2 x = +-4 Ответ: -4; -2; 2; 4 4) x⁴ - 20x² + 100 = 0 x² = t t² - 20t + 100 = 0 (t - 10)² = 0 t = 10 x² = 10 x = +-√10 Ответ: -√10; √10 6) x⁴ - 8x² + 15 = 0 x² = t t² - 8t + 15 = 0 D = 64 - 60 = 4 √D = 2 t₁ = (8-2)/2 = 3 t₂ = (8+2)/2 = 5 x² = 3 x² = 5 x = +-√3 x = +-√5 Ответ: -√5; -√3; √3; √5
Пащеба ☺️