Answer:
The solution is [tex]x = 3[/tex]
Step-by-step explanation:
We have the following equation:
[tex]\sqrt{x+6} = 3[/tex]
Elevating both sides to 2, we can isolate x
[tex]\sqrt{x+6}^{2} = 3^{2}[/tex]
[tex]x + 6 = 9[/tex]
[tex]x = 9 - 6[/tex]
[tex]x = 3[/tex]
Checking
[tex]\sqrt{x+6} = \sqrt{3+6} = \sqrt{9} = 3[/tex]
