Question

solve for x : square root 3 x = square root 2 x 1

Answer 1

$$\begin{gathered} \sqrt{3\mathrm{x}}=\sqrt{2\mathrm{x}+1} \\ \mathrm{Squaring}\mathrm{both}\mathrm{sides},\mathrm{we}\mathrm{get} \\ {\left(\sqrt{3\mathrm{x}}\right)}^2={\left(\sqrt{2\mathrm{x}+1}\right)}^2 \\ \Rightarrow 3\mathrm{x}=2\mathrm{x}+1 \\ \Rightarrow 3\mathrm{x}-2\mathrm{x}=1 \\ \Rightarrow \mathrm{x}=1 \end{gathered}$$