6.1 Areas Between Curves/10

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle \begin{align} & \color{red}\mathbf{y=1+\sqrt{x}} & \color{royalblue}\mathbf{y=\frac{3+x}{3}} \\ \\ \end{align} }

${\begin{aligned}1+{\sqrt {x}}={\frac {3+x}{3}}\\&=1+{\sqrt {x}}-{\frac {3+x}{3}}=0\\&={\frac {3+3{\sqrt {x}}}{3}}-{\frac {3+x}{3}}=0\\&=3+3{\sqrt {x}}-3+x=0\\&=3{\sqrt {x}}+x=0\\&=3{\sqrt {x}}=-x\\&=9x=x^{2}\\&=9x-x^{2}=0\\&=x(9-x)=0\\&=x=0,9\end{aligned}}$