Answer:
[tex]x=55[/tex]
Step-by-step explanation:
The given equation is [tex]\sqrt{x-6}+3=10[/tex]
Group similar terms to get:
[tex]\sqrt{x-6}=10-3[/tex]
[tex]\sqrt{x-6}=7[/tex]
Square both sides to obtain:
[tex]x-6=7^2[/tex]
[tex]x-6=49[/tex]
Add 6 to both sides
[tex]x=49+6[/tex]
Simplify the right hand side to obtain;
[tex]x=55[/tex]
