Question

What is the solution?

Answer 1

`\boxed{\bold{x=√(6)+4,\:x=-√(6)+4}}`

Step-by-step explanation:

Divide Both Sides By 3

`\bold{(3\left(x-4\right)^2)/(3)=(18)/(3)}`

Simplify

`\bold{\left(x-4\right)^2=6}`

`\bold{For \left(g\left(x\right)\right)^2=f\left(a\right)\ the\ solutions\are\}g\left(x\right)=√(f\left(a\right)),\:\:-√(f\left(a\right))}`

Solve
`\bold{x-4=√(6): \ x=√(6)+4}`

Solve
`\bold{x-4=-√(6): \ x=-√(6)+4}`

Solutions:
`\bold{x=√(6)+4,\:x=-√(6)+4}`

- M