Nichtlineare Gleichungen
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Exercise:
Die folgen Gleichungen sind zwar nicht linear lassen sich aber in eine lineare Gleichung umformen. Bestimme die Lösungsmenge L der x die die Gleichung lösen. nprvmulticols abclist abc x+x+ x+x+ abc x-x- x-x+ abc x-x- x-x- abc x-^ xx - abc x-^ xx- abc x+x+ x+x+ abc x+x+ x+x+ abc x^ - x+x- x+^ - x + abc x+x--x- x-^ + abc x-^ - x-^ - xx- + abc xx- - x+^ - x-x+ - abc x-x-x- - x-x-x- x^ abc x-x-x- - x-x-x- xx- abclist nprvmulticols
Solution:
prvminipage.textwidth abclist abc al x+x+ x+x+ tu x^ + x + x^ + x + uf-x^-x - x - uf: x -frac loes-frac abc al x-x- x-x+ tu x^ - x + x^ - x - uf-x^ +x - -x - uf:- x frac loesfrac abc al x-x- x-x- tu x^ - x + x^ - x + uf-x^ +x - loes abc al x-^ xx- tu x^ - x + x^ - x uf-x^ +x - -x - uf:- x frac frac loesfrac abc al x-^ xx- tu x^ - x + x^ - x uf-x^ +x - -x - uf:- x frac frac loesfrac abc al x+x+ x+x+ tu x^ + x + x^ + x + tu x^ + x + x^ + x + uf-x^ -x - x loes abc al x+x+ x+x+ tu x^ + x + x^ + x + tu x^ + x + x^ + x + uf-x^ -x - loes abc al x^ - x+x- x+^ - x + tu x^ - x^ - x^ + x + - x + tu x^ - x^ + x^ + tu x^ + x^ + uf-x^ - && L R abc al x+x--x- x-^ + tu x^ - x - - x + x^ - x + + tu x^ - x + x^ - x + uf-x^ +x - x uf: x loes abc al x-^ - x-^ - xx- + tu x^ - x + - x^ - x + - x^ + x + tu x^ - x + - x^ + x - - x^ + x + tu x + uf- x - uf: x -frac loes-frac abc al xx- - x+^ - x-x+ - tu x^ - x - x^ + x + - x^ - x - - tu x^ - x - x^ - x - - x^ + x + - tu -x uf:- x loes abc al x-x-x- - x-x-x- x^ tu x-x-x- - x- x^ tu x-x- x^ tu x^ - x + x^ tu x^ - x + x^ uf-x^- - x - uf:- x frac loesfrac abc al x-x-x- - x-x-x- xx- tu x-x-x- - x- xx- tu x-x- xx- uf: x-x- xx- tu x^ - x + x^ - x uf-x^ +x - -x - uf:- x frac loesfrac abclist prvminipage
Die folgen Gleichungen sind zwar nicht linear lassen sich aber in eine lineare Gleichung umformen. Bestimme die Lösungsmenge L der x die die Gleichung lösen. nprvmulticols abclist abc x+x+ x+x+ abc x-x- x-x+ abc x-x- x-x- abc x-^ xx - abc x-^ xx- abc x+x+ x+x+ abc x+x+ x+x+ abc x^ - x+x- x+^ - x + abc x+x--x- x-^ + abc x-^ - x-^ - xx- + abc xx- - x+^ - x-x+ - abc x-x-x- - x-x-x- x^ abc x-x-x- - x-x-x- xx- abclist nprvmulticols
Solution:
prvminipage.textwidth abclist abc al x+x+ x+x+ tu x^ + x + x^ + x + uf-x^-x - x - uf: x -frac loes-frac abc al x-x- x-x+ tu x^ - x + x^ - x - uf-x^ +x - -x - uf:- x frac loesfrac abc al x-x- x-x- tu x^ - x + x^ - x + uf-x^ +x - loes abc al x-^ xx- tu x^ - x + x^ - x uf-x^ +x - -x - uf:- x frac frac loesfrac abc al x-^ xx- tu x^ - x + x^ - x uf-x^ +x - -x - uf:- x frac frac loesfrac abc al x+x+ x+x+ tu x^ + x + x^ + x + tu x^ + x + x^ + x + uf-x^ -x - x loes abc al x+x+ x+x+ tu x^ + x + x^ + x + tu x^ + x + x^ + x + uf-x^ -x - loes abc al x^ - x+x- x+^ - x + tu x^ - x^ - x^ + x + - x + tu x^ - x^ + x^ + tu x^ + x^ + uf-x^ - && L R abc al x+x--x- x-^ + tu x^ - x - - x + x^ - x + + tu x^ - x + x^ - x + uf-x^ +x - x uf: x loes abc al x-^ - x-^ - xx- + tu x^ - x + - x^ - x + - x^ + x + tu x^ - x + - x^ + x - - x^ + x + tu x + uf- x - uf: x -frac loes-frac abc al xx- - x+^ - x-x+ - tu x^ - x - x^ + x + - x^ - x - - tu x^ - x - x^ - x - - x^ + x + - tu -x uf:- x loes abc al x-x-x- - x-x-x- x^ tu x-x-x- - x- x^ tu x-x- x^ tu x^ - x + x^ tu x^ - x + x^ uf-x^- - x - uf:- x frac loesfrac abc al x-x-x- - x-x-x- xx- tu x-x-x- - x- xx- tu x-x- xx- uf: x-x- xx- tu x^ - x + x^ - x uf-x^ +x - -x - uf:- x frac loesfrac abclist prvminipage