Answer:
[tex]\large \tt {x \: = \: 7}[/tex]
Step-by-step explanation:
- [tex]\large \tt {\sqrt{x \: + \: 2=}}[/tex] [tex]\large \tt{3}[/tex]
- ([tex]\large \tt {\sqrt{x \: + \: 2}}[/tex]) [tex]\large \tt{^2 \: = \: 3^2}[/tex]
- [tex]\large \tt{x \: + \: 2 \: = \:9}[/tex]
- [tex]\large \tt{x \: = \: 9 \: - \: 2}[/tex]
- [tex]\large \tt \purple{x \: = \: 7}[/tex]
[tex]\: [/tex]
Checking:
Substitute the value of x in the equation.
- [tex]\large \tt {\sqrt{x \: + \: 2=}}[/tex] [tex]\large \tt{3}[/tex]
- [tex]\large \tt {\sqrt{7 \: + \: 2=}}[/tex] [tex]\large \tt{3}[/tex]
- [tex]\large \tt {\sqrt{9 \: }}[/tex] [tex]\large \tt{= \: 3}[/tex]
- [tex]\large \tt \underline{3 \: = \:3}[/tex]
Therefore, the solution or the value of the variable is acceptable.