Question

(x^2+2)^2 = 2.(x^2+6). qual o resultado?​

Answer 1

(x²+2)² = 2*(x²+6)

(x²)² + 2(x²)(2) + 2² = 2x² + 12

x⁴ + 4x² + 4 =  2x² + 12

x⁴ + 4x² + 4 -  2x² - 12 = 0

x⁴ + 2x² - 8 = 0

(x² + 4)(x² - 2) = 0

(x² + 4) = 0

x = ±√-4

x₁ = +2i

x₂ = -2i

(x² - 2) = 0

x = ±√2

x₃ = +√2

x₄ -√2