6.1 Areas Between Curves/10: Difference between revisions
No edit summary |
No edit summary |
||
| Line 16: | Line 16: | ||
1+\sqrt{x} &= \frac{3+x}{3} \\ | 1+\sqrt{x} &= \frac{3+x}{3} \\ | ||
1+\sqrt{x}-\frac{3+x}{3} &= 0 \\ | 1+\sqrt{x}-\frac{3+x}{3} &= 0 \\ | ||
\frac{3+3\sqrt{x}}{3 | \frac{3+3\sqrt{x}}{3}-\frac{3+x}{3} &= 0 \\ | ||
3+3\sqrt{x}-3+x &= 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} | \end{align} | ||
</math> | </math> | ||
Revision as of 04:33, 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 (Conversion error. Server ("https://en.wikipedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle {\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}}}