Решите уравнение [tex] 27^{tg^{2} x} +81*27^{-tg^{2}x} =30[/tex]

27^tg²x=aa+81/a-30=0a²-30a+81=0a1+a2=30 U a1*a2=81a1=3⇒27^tg²x=3⇒3^3tg²x=3⇒3tg²x=1⇒tg²x=1/3tgx=-1/√3⇒x=-π/6+πn,n∈ztgx=1/√3⇒x=π/6+πn,n∈za2=27⇒27^tg²x=27⇒tg²x=1tgx=-1⇒x=-π/4+πn,n∈ztgx=1⇒x=π/4+πn,n∈z