6.1 Areas Between Curves/10

${\begin{aligned}&\color {red}\mathbf {y=1+{\sqrt {x}}} &\color {royalblue}\mathbf {y={\frac {3+x}{3}}} \\\\\end{aligned}}$

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} &1+\sqrt{x} = \frac{3+x}{3} \\[2ex] &= 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{align} }