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https://texercises.com/exercise/wurzelgleichungen-mit-substitution/
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Exercise:
Bestimme die Lösungsmenge L_x der folgen Wurzelgleichungen mit Hilfe einer geeigneten Substitution. nprvmulticols abclist abc sqrtx qty+sqrtx abc sqrtx+ - dfracsqrtx+ . abc x- sqrtx + abc x - sqrtx + abclist nprvmulticols

Solution:
abclist abc al sqrtx qty+sqrtx uf s:sqrtx sqty+s tu s+s^ uf - s^+s+ lf s+s- faki s_ - uf x s^ x_ fakii s_ uf x s^ x_ es sqrt qty+sqrt &neq sqrt qty+sqrt loes abc al sqrtx+ - dfracsqrtx+ . uf s: sqrtx+ s - fracs . uf s s^ - .s uf -.s s^ -.s - uftextMF al s_  frac. pm sqrt. + frac. pm . s_ frac uf x s^- x_ frac s_ -. uf x s^- x_ -. uftexteinsetzen al sqrtfrac+ - dfracsqrtfrac+ . sqrt-.+ - dfracsqrt-.+ &neq . loesfrac abc al x- sqrtx + uf s: sqrtx s^ -s + lf s-s- faki s_ uf x s^ x_ fakii s_ uf x s^ x_ es - sqrt + - sqrt + loes abc al x - sqrtx + uf s:sqrtx s^ - s + mf s_  fracpmsqrt- fracpm s_ uf x s^ x_ s_ frac uf x s^ x_ frac es - sqrt + frac - sqrtfrac + loesfrac abclist
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\(\LaTeX\)-Code
Exercise:
Bestimme die Lösungsmenge L_x der folgen Wurzelgleichungen mit Hilfe einer geeigneten Substitution. nprvmulticols abclist abc sqrtx qty+sqrtx abc sqrtx+ - dfracsqrtx+ . abc x- sqrtx + abc x - sqrtx + abclist nprvmulticols

Solution:
abclist abc al sqrtx qty+sqrtx uf s:sqrtx sqty+s tu s+s^ uf - s^+s+ lf s+s- faki s_ - uf x s^ x_ fakii s_ uf x s^ x_ es sqrt qty+sqrt &neq sqrt qty+sqrt loes abc al sqrtx+ - dfracsqrtx+ . uf s: sqrtx+ s - fracs . uf s s^ - .s uf -.s s^ -.s - uftextMF al s_  frac. pm sqrt. + frac. pm . s_ frac uf x s^- x_ frac s_ -. uf x s^- x_ -. uftexteinsetzen al sqrtfrac+ - dfracsqrtfrac+ . sqrt-.+ - dfracsqrt-.+ &neq . loesfrac abc al x- sqrtx + uf s: sqrtx s^ -s + lf s-s- faki s_ uf x s^ x_ fakii s_ uf x s^ x_ es - sqrt + - sqrt + loes abc al x - sqrtx + uf s:sqrtx s^ - s + mf s_  fracpmsqrt- fracpm s_ uf x s^ x_ s_ frac uf x s^ x_ frac es - sqrt + frac - sqrtfrac + loesfrac abclist
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Tags
algebra, wurzelgleichungen
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Difficulty
(3, default)
Points
0 (default)
Language
GER (Deutsch)
Type
Calculative / Quantity
Creator pw
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Link