Question

solve for x (3√x-2)-8=8

Answer 1

\[3\sqrt{x-2}-8=8\]

Answer 2

please show work

Answer 3

\(\normalsize\color{blue}{ 3\sqrt{x-2}-8=8 }\)
\(\normalsize\color{blue}{ 3\sqrt{x-2}-8\color{red}{ +8}=8\color{red}{ +8} }\)
\(\normalsize\color{blue}{ 3\sqrt{x-2}=16 }\)
\(\normalsize\color{blue}{ 3\sqrt{x-2} \color{darkgoldenrod}{ \div3 } =16\color{darkgoldenrod}{ \div3 } }\)

\(\normalsize\color{blue}{\sqrt{x-2}=\Large{ \frac{16}{3} }}\)

Answer 4

let me know if you need more help finishing the prob.

Answer 5

@SolomonZelman I need help to finish it.

Answer 6

I did work up to this point but i got stuck right where you where.

Answer 7

square both sides, and you will get

\(\normalsize\color{blue}{ x-2=±\frac{\large {256}}{\large {9}} }\) add 2 to both sides

\(\normalsize\color{blue}{ x=2±\frac{\large {256}}{\large {9}} }\)

you can also do this, ...

\(\normalsize\color{blue}{ x=\frac{\large {18}}{\large {9}}±\frac{\large {256}}{\large {9}} }\)

\(\normalsize\color{blue}{ x=\frac{\large {18±256}}{\large {9}} }\)