6.1 Areas Between Curves/10: Difference between revisions

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<math>  
<math>  
\begin{align}
\begin{align}
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+x}{3} &= 0 \\
&= \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 = 0 \\
3\sqrt{x} &= -x \\
&= 3\sqrt{x} = -x \\
9x &= x^2 \\
&= 9x = x^2 \\
9x-x^2 &= 0 \\
&= 9x-x^2 = 0 \\
x(9-x) &= 0 \\
&= x(9-x) = 0 \\
x &= 0,9  
&= x = 0,9  
\end{align}
\end{align}
</math>
</math>

Revision as of 04:38, 20 September 2022

Desmos-graphs.png

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}}}