Решение
y = x⁴ - 12x²
y` = 4x³ - 24x
y` = 0
4x³ - 24x = 0
4x*(x² - 6) = 0
x₁ = 0
x² - 6 = 0
x² = 6
x₂ = - √6
x₃ = √6
X⁴ + x² - 2 = 0
Сделаем замену x² = m ≥ 0
m² + m - 2 = 0
D = 1² - 4 * 1 * (- 2) = 1 + 8 = 9 = 3²
- неуд.
x² = 1
x₁ = 1 x₂ = - 1
Ответ: - 1 ; 1