6.1 Areas Between Curves/10: Difference between revisions
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<math> | <math> | ||
\begin{align} | \begin{align} | ||
1+\sqrt{x} | &= 1+\sqrt{x} = \frac{3+x}{3} \\ | ||
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} | &= \frac{3+3\sqrt{x}}{3}-\frac{3+x}{3} = 0 \\ | ||
3+3\sqrt{x}-3+x | &= 3+3\sqrt{x}-3+x = 0 \\ | ||
3\sqrt{x}+x | &= 3\sqrt{x}+x = 0 \\ | ||
3\sqrt{x} | &= 3\sqrt{x} = -x \\ | ||
9x | &= 9x = x^2 \\ | ||
9x-x^2 | &= 9x-x^2 = 0 \\ | ||
x(9-x) | &= x(9-x) = 0 \\ | ||
x | &= x = 0,9 | ||
\end{align} | \end{align} | ||
</math> | </math> | ||
Revision as of 04:38, 20 September 2022
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} }
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} \\ &= 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} }