Answer:
[tex]\boxed{\bold{x=\sqrt{6}+4,\:x=-\sqrt{6}+4}}[/tex]
Explanation:
Divide Both Sides By 3
[tex]\bold{\frac{3\left(x-4\right)^2}{3}=\frac{18}{3}}[/tex]
Simplify
[tex]\bold{\left(x-4\right)^2=6}[/tex]
[tex]\bold{For \left(g\left(x\right)\right)^2=f\left(a\right)\ the\ solutions\are\}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}}[/tex]
Solve [tex]\bold{x-4=\sqrt{6}: \ x=\sqrt{6}+4}[/tex]
Solve [tex]\bold{x-4=-\sqrt{6}: \ x=-\sqrt{6}+4}[/tex]
Solutions: [tex]\bold{x=\sqrt{6}+4,\:x=-\sqrt{6}+4}[/tex]
- M
