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https://texercises.com/exercise/substitutionsverfahren/
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Exercise:
Bestimme die Lösungsmenge L_x der folgen quadratischen Gleichungen mit einer geeigneten Substitution. nprvmulticols abclist abc qtyx-^ + qtyx- - abc qtydfracx^ + qtydfracx - abc qtyx-dfrac^ - qtyx-dfrac + abc qtyx-^ - qtyx- + abc qtyx-^ - qtyx- + abc qtydfrac x - ^ - qtydfrac x - + abclist nprvmulticols

Solution:
prvminipagecm abclist abc alqtyx-^ + qtyx- - uf s: x- s^ + s - lf s+s- faki s_ - uf xs+ x_ fakii s_ uf xs+ x_ loes abc alqtydfracx^ + qtydfracx - uf s: dfracx s_ - uf x s x_ - s_ uf x s x_ loes- abc alqtyx-dfrac^ - qtyx-dfrac + uf s: qtyx-dfrac s^ - s + &&|textMF al s_  dfrac pm sqrt - dfrac pm tu dfracpm uf x s + dfrac x_  dfracpm loes abc alqtyx-^ - qtyx- + uf s: x- al s_ dfracpm uf x dfracs+ x_ dfracpm loesdfrac dfrac abc alqtyx-^ - qtyx- + uf s: x- s^ - s + &&|textMF al s_  dfracpmsqrt- pm uf x s+ x_ pm loes abc alqtydfrac x - ^ - qtydfrac x - + uf s:qtydfrac x - al s_ frac pm sqrt^- fracpm ufxs + x_  pm loes abclist prvminipage
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\(\LaTeX\)-Code
Exercise:
Bestimme die Lösungsmenge L_x der folgen quadratischen Gleichungen mit einer geeigneten Substitution. nprvmulticols abclist abc qtyx-^ + qtyx- - abc qtydfracx^ + qtydfracx - abc qtyx-dfrac^ - qtyx-dfrac + abc qtyx-^ - qtyx- + abc qtyx-^ - qtyx- + abc qtydfrac x - ^ - qtydfrac x - + abclist nprvmulticols

Solution:
prvminipagecm abclist abc alqtyx-^ + qtyx- - uf s: x- s^ + s - lf s+s- faki s_ - uf xs+ x_ fakii s_ uf xs+ x_ loes abc alqtydfracx^ + qtydfracx - uf s: dfracx s_ - uf x s x_ - s_ uf x s x_ loes- abc alqtyx-dfrac^ - qtyx-dfrac + uf s: qtyx-dfrac s^ - s + &&|textMF al s_  dfrac pm sqrt - dfrac pm tu dfracpm uf x s + dfrac x_  dfracpm loes abc alqtyx-^ - qtyx- + uf s: x- al s_ dfracpm uf x dfracs+ x_ dfracpm loesdfrac dfrac abc alqtyx-^ - qtyx- + uf s: x- s^ - s + &&|textMF al s_  dfracpmsqrt- pm uf x s+ x_ pm loes abc alqtydfrac x - ^ - qtydfrac x - + uf s:qtydfrac x - al s_ frac pm sqrt^- fracpm ufxs + x_  pm loes abclist prvminipage
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algebra, quadratische gleichungen, substitution
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(3, default)
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Language
GER (Deutsch)
Type
Calculative / Quantity
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