Commit 1ec5b41f authored by Louis's avatar Louis
Browse files

Correction des tests

parent 303d72c1
......@@ -3,8 +3,8 @@ Donner la forme canonique des polynômes $P$ , $Q$ , $R$ et $S$ .
\begin{align*}
P\,(x) &= x^{2}-16\,x+4 & Q\,(x) &= x^{2}+7\,x+8 & S\,(x) &= 4\,x^{2}-7\,x-3\\
&= \left( x-8\right) ^{2}-8^{2}+4 & &= \left( x+\dfrac{7}{2}\right) ^{2}-\left( \dfrac{7}{2} \right) ^{2}+8 & &= 4\times \left( x^{2}-\dfrac{7}{4}\,x-\dfrac{3}{4}\right) \\
&= \left( x-8\right) ^{2}+64+4 & &= \left( x+\dfrac{7}{2}\right) ^{2}+\dfrac{-49}{4}+\dfrac{8_{\times 4}}{1_{\times 4}} & &= 4\times \left( \left( x-\dfrac{7}{8}\right) ^{2}-\left( \dfrac{7}{8} \right) ^{2}+\dfrac{-3}{4}\right) \\
\Aboxed{P\,(x) &= \left( x-8\right) ^{2}+68} & &= \left( x+\dfrac{7}{2}\right) ^{2}+\dfrac{-49}{4}+\dfrac{32}{4} & &= 4\times \left( \left( x-\dfrac{7}{8}\right) ^{2}+\dfrac{-49}{64}+\dfrac{-3_{\times 16}}{4_{\times 16}}\right) \\
&= \left( x-8\right) ^{2}-64+4 & &= \left( x+\dfrac{7}{2}\right) ^{2}+\dfrac{-49}{4}+\dfrac{8_{\times 4}}{1_{\times 4}} & &= 4\times \left( \left( x-\dfrac{7}{8}\right) ^{2}-\left( \dfrac{7}{8} \right) ^{2}+\dfrac{-3}{4}\right) \\
\Aboxed{P\,(x) &= \left( x-8\right) ^{2}-60} & &= \left( x+\dfrac{7}{2}\right) ^{2}+\dfrac{-49}{4}+\dfrac{32}{4} & &= 4\times \left( \left( x-\dfrac{7}{8}\right) ^{2}+\dfrac{-49}{64}+\dfrac{-3_{\times 16}}{4_{\times 16}}\right) \\
R\,(x) &= 25\,x^{2}-60\,x+36 & \Aboxed{Q\,(x) &= \left( x+\dfrac{7}{2}\right) ^{2}+\dfrac{-17}{4}} & &= 4\times \left( \left( x-\dfrac{7}{8}\right) ^{2}+\dfrac{-49}{64}+\dfrac{-48}{64}\right) \\
&= \left( 5\,x-6\right) ^{2} & & & &= 4\times \left( \left( x-\dfrac{7}{8}\right) ^{2}+\dfrac{-97}{64}\right) \\
&= \left( 5\times \left( x-\dfrac{6}{5}\right) \right) ^{2} & & & &= 4\times \left( x-\dfrac{7}{8}\right) ^{2}+\dfrac{-97\times \cancel{4}}{\cancel{4}\times 16}\\
......
......@@ -274,7 +274,7 @@ def splitting(calcul):
['-6', '*', '(-11)', '*', '(-5)']
>>> Priorites3.splitting("Fraction(1,7)x^2-Fraction(3,8)x-1")
['Fraction(1,7)', 'x', '^', '2', '-', 'Fraction(3,8)', 'x', '-', '1']
>>> splitting('-7**2')
>>> Priorites3.splitting('-7**2')
['-', '7', '**', '2']
:rtype: list
......@@ -687,7 +687,7 @@ def priorites(calcul):
>>> from pyromaths.outils import Priorites3
>>> Priorites3.priorites('-1+5-(-5)+(-6)*1')
[['-1', '+', '5', '+', '5', '-', '6'], ['9', '-', '6'], ['3']]
[['4', '+', '5', '-', '6'], ['9', '-', '6'], ['3']]
>>> Priorites3.priorites('-5**2+6')
[['-', '25', '+', '6'], ['-25', '+', '6'], ['-19']]
>>> Priorites3.priorites('Polynome([[Fraction(6, 7), 0]], "x")*Polynome([[Fraction(1,3), 1], [1,0]], "x")')
......
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