(√(5+2√6))^|x|+(√(5-2√6))^|x|=10 (√(5-2√6))^|x|=1/(√(5+2√6))^|x| (√(5+2√6))^|x|+1/(√(5+2√6))^|x|=10 (√(5+2√6))^|x|=a a+1/a-10=0 a²-10a+1=0,a≠0 D=100-4=96 √D=4√6 a1=(10-4√6)/5=5-2√6⇒(√(5+2√6))^|x|=5-2√6⇒|x|/2=-1 ⇒|x|=-2нет решения a2=5+2√6⇒(√(5+2√6))^|x|=5+2√√6⇒⇒|x|/2=1⇒|x|=2⇒x=-2 U x=2 -2*2=-4 Ответ Г