Answer :
Hi there! Given the equation below.
[tex] \large{r + \sqrt{x} = 9}[/tex]
First is to subtract both sides by r-term to isolate x-term.
[tex] \large{r + \sqrt{x} - r = 9 - r} \\ \large{ \sqrt{x} = 9 - r}[/tex]
Because the x-term is in square root form. We have to square both sides to get rid of the square root.
[tex] \large{( \sqrt{x})^{2} = {(9 - r)}^{2} } \\ \large{x = {(9 - r)}^{2} }[/tex]
Alternative Solution
[tex] \large{x = {r}^{2} - 18r + 81}[/tex]
Answer
- x = (9-r)²
- x = r²-18r+81
Both answers work. Any questions about this can be asked through comment.