Question

How do you solve `x^2/81-6=-2` using any method?

Answer 1

`x=+-18`

Explanation:

`"add 6 to both sides"`

`x^2/81cancel(-6)cancel(+6)=-2+6`

`rArrx^2/81=4`

`"to eliminate the fraction multiply both sides by "81`

`cancel(81)xx x^2/cancel(81)=81xx4`

`rArrx^2=324`

`color(blue)"take square root of both sides"`

`x=+-sqrt324larrcolor(blue)"note plus or minus"`

`rArrx=+-18" is the solution"`