👤

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.