Änderungen von Dokument BPE 3.4 Polynomgleichungen

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...	...	@@ -63,7 +63,7 @@
63	63	{{formula}}\square (x-\square)=0{{/formula}} || SVNP
64	64	{{formula}}x_{1,2}=\square; x_3=6{{/formula}}
65	65	)))
66		-1. ((({{formula}}x^4+\square x^2+\square=0{{/formula}} || Subst.: {{formula}}x^2\coloneq\square{{/formula}}
	66	+1. ((({{formula}}x^4+\square x^2+\square=0{{/formula}} || Subst.: {{formula}}x^2:=\square{{/formula}}
67	67	{{formula}}z^2+\square z + \square = 0{{/formula}} || SVNP
68	68	{{formula fontSize="larger"}}z_{1,2}=\frac{\square\pm\sqrt{\square^2-4\cdot\square\cdot\square}}{2\cdot\square}{{/formula}}
69	69	{{formula fontSize="larger"}}z_1=\frac{\square+\square}{\square}; z_2=\frac{\square-\square}{\square}{{/formula}}
...	...	@@ -71,6 +71,16 @@
71	71	{{formula}}x_{1,2}^2=36 \Rightarrow x_{1,2}=\square{{/formula}}
72	72	{{formula}}x_{3,4}^2=\square \Rightarrow x_{3,4}=\pm 2{{/formula}}
73	73	)))
	74	+1. ((({{formula}}\begin{align*}
	75	+x^4+\square x^2+\square=0 \text{ || Subst.: }x^2:=\square\\
	76	+z^2+\square z + \square = 0 \text{ || SVNP } \\
	77	+z_{1,2}=\frac{\square\pm\sqrt{\square^2-4\cdot\square\cdot\square}}{2\cdot\square}\\
	78	+z_1=\frac{\square+\square}{\square}; z_2=\frac{\square-\square}{\square}\\
	79	+\text{Resubst.: } \square := x^2\\
	80	+x_{1,2}^2=36 \Rightarrow x_{1,2}=\square\\
	81	+x_{3,4}^2=\square \Rightarrow x_{3,4}=\pm 2
	82	+\end{align*}
	83	+{{/formula}})))
74	74	{{/aufgabe}}
75	75
76	76	{{aufgabe id="Einfache Ungleichung" afb="I" kompetenzen="K4" quelle="Stefanie Schmidt" lizenz="BY-SA"}}