139k views
4 votes
Which equation results from taking the square root of both sides (x-9)^2=81

2 Answers

4 votes

(x-9)^2=81\\\\√((x-9)^2)=√(81)\\\\|x-9|=9\iff x-9=9\ \vee\ x-9=-9\ \ \ |+9\\\\x=19\ \vee\ x=0
User Whytespot
by
6.6k points
3 votes

\bf (x-9)^2=81\implies √((x-9)^2)=√(81)\implies x-9=\pm √(81) \\\\\\ x-9=\pm 9\implies x=\pm 9+9
User Rsanchez
by
7.0k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.