Question

sqrt(2x + 9) - sqrt(x + 1) = sqrt(x - 4)​

Answer 1

Answer:

$\boxed{ \begin{array}{}\sf{} \sqrt{2x + 9} - \sqrt{x + 1} = \sqrt{x - 4} \\ \\ \boxed{ \sf{}x = 8 \: and \: - 5 }\\ \\ \cdot\sf{} \: square \: both \: sides \\ \\\sf{} \cdot \: separate \: terms \: with \: roots \: \\ \sf{} from \: terms \: without \: roots \\ \\ \cdot \:\sf{} simplify \: the \: right \: side \: of \: \\ \sf{}the \: equation \\ \\\sf{} \cdot square \: both \: sides \\ \\\sf{} \cdot \: expand \\ \\ \cdot \sf{}simplify \:the \: left \: side \\ \\ \cdot\sf{}move \: all \: terms \: to \: one \: side \\ \\ \cdot\sf{}simplify \: again \\ \\ \sf{} \cdot \: factor \: out \: common \: term \\ \\ \sf{} \cdot \: factor \end{array}}$

Please solve it on your own with the guide I give.

$\boxed{ \red{\ddot\smile}}$