To find the largest solution of this equation, you would have to find the solution that is the largest of the possible solutions.
To solve this, the first thing you need to do is to add 9 to both sides to get
(x+2)^2=9
Then, to get rid of the square, square root both sides:
[tex] \sqrt{(x+2)^2} [/tex] = [tex] \sqrt{9} [/tex]
When you square root this, you should result in these two equations:
x+2=3
x+2=-3
The reason you have -3 and 3 is because when you square root 9, notice that when you square -3 and 3, you get the same result of 9.
Because of this, you get two solutions when you solve for x which are
x=1 and x=-5
However, the problem asks to state the largest solution of the two solutions, and since 1 is greater than -5, your final solution to this problem would be that x=1.
