Question

найдите корни ур
авнения||х|-5|=6

Answer 1

$||x|-5|=6\ left [ begin{gathered} left{{|x|-5geq0}atop { |x|-5=6}right.\ left{{|x|-5<0}atop { 5-|x|=6}right.end{gathered}right.\ left [ begin{gathered} left{{|x|geq5}atop { |x|=11}right.\ left{{|x|<5}atop { |x|=-1}right.end{gathered}right.$

Вторая система решений не имеет, т.к. $|A|geq0$

$left{ left[ begin{gathered} xgeq5\ xleq -5 end{gathered} right. atop { |x|=11}right.\ left{begin{gathered} left[ begin{gathered} xgeq5\ xleq -5 end{gathered} right.\ left[ begin{gathered} x=11\ x=-11 end{gathered} right. end{gathered} right.\ Answer: pm 11$