Documentation/FR/Math/Solutions entrainements

Solutions des entraînements

Entraînement 1 (les bases)

• 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://wikimedia.org/api/rest_v1/":): {\displaystyle {\left(a\mathrm{-}b\right)}^{2}\mathrm{=}{a}^{2}+{b}^{2}\mathrm{-}2ab}
• 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://wikimedia.org/api/rest_v1/":): {\displaystyle \frac{1}{R}\mathrm{=}\frac{1}{{R}_{1}}+\frac{1}{{R}_{2}}}
• 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://wikimedia.org/api/rest_v1/":): {\displaystyle 3\text{m}\mathrm{\cdot }5\text{m}\mathrm{=}15{\text{m}}^{2}}
• 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://wikimedia.org/api/rest_v1/":): {\displaystyle \mathrm{1,6726}\mathrm{\cdot }{10}^{\mathrm{-}27}\text{kg}\mathrm{=}\mathrm{1,0073}\text{u}}

Entraînement 2 (les parenthèses)

• 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://wikimedia.org/api/rest_v1/":): {\displaystyle a\mathrm{\cdot }\frac{b}{c}\mathrm{=}\frac{a\mathrm{\cdot }b}{c}}
• 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://wikimedia.org/api/rest_v1/":): {\displaystyle \frac{8y\mathrm{-}3}{5n}\mathrm{-}\frac{y+2}{2n}}
• 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://wikimedia.org/api/rest_v1/":): {\displaystyle I\mathrm{=}\mathrm{\lbrack }3;8) \,}
• 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://wikimedia.org/api/rest_v1/":): {\displaystyle \mathrm{\lbrace }x\mathrm{=}2 \,}

Entraînement 3 (les modèles)

• 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://wikimedia.org/api/rest_v1/":): {\displaystyle 2x\mathrm{-}1\mathrm{\le }3\mathrm{-}5x}
• 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://wikimedia.org/api/rest_v1/":): {\displaystyle x\mathrm{\in }A} ,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://wikimedia.org/api/rest_v1/":): {\displaystyle A\mathrm{\cap }B\mathrm{=}\mathrm{\varnothing }}
• 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://wikimedia.org/api/rest_v1/":): {\displaystyle x\mathrm{\cdot }y\mathrm{=}0\mathrm{\Leftrightarrow }x\mathrm{=}0\mathrm{\vee }y\mathrm{=}0}
• 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://wikimedia.org/api/rest_v1/":): {\displaystyle \sqrt[3]{{x}^{2}}\mathrm{=}{x}^{2\mathrm{/}3}}
• 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://wikimedia.org/api/rest_v1/":): {\displaystyle \frac{1}{2}\left(\frac{2}{3}+\frac{4}{5}\right)}
• 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://wikimedia.org/api/rest_v1/":): {\displaystyle A\mathrm{=}\left(\frac{1}{2},\frac{1}{3},\frac{1}{4},\frac{1}{5},\dots \right)}
• 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://wikimedia.org/api/rest_v1/":): {\displaystyle \underset{1}{\overset{10}{\mathrm{\int }}}{n}^{2}\mathit{dn}}
• 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://wikimedia.org/api/rest_v1/":): {\displaystyle \begin{array}{c}2\left(x\mathrm{-}3\right)+2\mathrm{=}4\left(x+2\right)\mathrm{\Leftrightarrow }\\ 2x\mathrm{-}4\mathrm{=}4x+8\mathrm{\Leftrightarrow }\\ x\mathrm{=}\mathrm{-}6\end{array}}

Entraînement 4 (les symboles additionnels)

• 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://wikimedia.org/api/rest_v1/":): {\displaystyle O\mathrm{=}2\pi r \,}
• 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://wikimedia.org/api/rest_v1/":): {\displaystyle 8\text{V}\mathrm{=}2\text{A}\mathrm{\cdot }4\Omega }
• 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://wikimedia.org/api/rest_v1/":): {\displaystyle \frac{Q}{\Delta t}}

Entraînement 5 (les polices)

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Entraînement 6 (les formules chimiques)

• 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://wikimedia.org/api/rest_v1/":): {\displaystyle {\mathrm{Fe}}^{2+} \,}
• 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://wikimedia.org/api/rest_v1/":): {\displaystyle {}_{6}^{12}\mathrm{C} \,}
• 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://wikimedia.org/api/rest_v1/":): {\displaystyle {\mathrm{CH}}_{4}+{\mathrm{2O}}_{2}\rightarrow {\mathrm{CO}}_{2}+2{\mathrm{H}}_{2}\mathrm{O}}