Verified answer

[tex] \sqrt{x + 4} - \sqrt[4]{x + 4} = 2 [/tex]

[tex] \sqrt{x + 4} - \sqrt[4]{x + 4} - 2 = 0 [/tex]

[tex] {t}^{2} - t - 2 = 0[/tex]

[tex]t = - 1 \\ t = 2[/tex]

[tex] \sqrt[4]{x + 4} = - 1[/tex]

[tex] \sqrt[4]{x + 4} = 2[/tex]

[tex]x = 12[/tex]

[tex] \sqrt{12 + 4} - \sqrt[4]{12 + 4} = 2 [/tex]

[tex]2 = 2[/tex]

Ответ:х = 12