3x4 - 2x2-16=0 ...

Решение

3x⁴ - 2x² - 16 = 0

Пусть x² = y, тогда

3y² - 2y - 16 = 0

D = 2² + 4*3*16 = 196

y₁ = (2 - 14) / 6

y₁ = - 2

y₂ = (2 + 14) / 6

y₂ = 16/6

y₂ = 2 (2/3)

x² = - 2 не имеет смысла

x² = (8/3)

x₁ = - √ (8/3)

x₁ = - 2√ (2/3)

x₁ = - 2√6 / 3

x₂ = √ (8/3)

x₂ = 2√ (2/3)

x₂ = 2√6 / 3