How do you solve #49n ^ { 2} = 441#?

1 Answer
Jun 7, 2018

#\pm3# or #3#, see explanation

Explanation:

#49n^2=441#

  1. #\cancel(49xx)n^2\cancel(\color(indianred)(\div49))=441\color(indianred)(\div49)#
  2. #n^2=9#
  3. #\sqrt(n^2)=\sqrt9#
  4. #n=\pm3#
  5. #\color(skyblue)(\text(or ))3#, if you're being asked for positive only