27^(модуль x^2-2)=81

Question

27^(модуль x^2-2)=81

Answer 1

27 = 3³;   81 = 3⁴
3*|x² - 2| = 4
|x² - 2| = 4/3
или x² - 2 = 4/3     или x² - 2 = -4/3
       x² = 10/3               x² = 2/3
х₁ = √(10/3)
х₂ = -√(10/3)
х₃ = √(2/3)
х₄ = -√(2/3)