Answer:
x = 118
Step-by-step explanation:
Given
[tex]\sqrt{x+3}[/tex] - 2 = 9 ( add 2 to both sides )
[tex]\sqrt{x+3}[/tex] = 11 ( square both sides )
([tex]\sqrt{x+3}[/tex])² = 11², that is
x + 3 = 121 ( subtract 3 from both sides )
x = 118
As a check
Substitute x = 118 into the left side of the equation and if equal to the right side then it is the solution.
[tex]\sqrt{118+3}[/tex] - 2
= [tex]\sqrt{121}[/tex] - 2 = 11 - 2 = 9 = right side, thus
x = 118 is the solution
