Änderungen von Dokument BPE 3.4 Polynomgleichungen

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...	...	@@ -65,32 +65,12 @@
65	65	)))
66	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		-{{formula fontSize="larger"}}z_{1,2}=\frac{\square\pm\sqrt{\square^2-4\cdot\square\cdot\square}}{2\cdot\square}{{/formula}}
	68	+{{formula fontSize="larger"}}z_{1,2}=\frac{\square\pm\sqrt{\square^2-4\cdot\square\cdot\square}}{2\square}{{/formula}}
69	69	{{formula fontSize="larger"}}z_1=\frac{\square+\square}{\square}; z_2=\frac{\square-\square}{\square}{{/formula}}
70	70	Resubst.: {{formula}}\square := x^2{{/formula}}
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 & \left|\left|\text{ Subst.: } & x^2:=\square\\
76		-z^2+\square z + \square &= 0 & \left|\left|\text{ SVNP } &
77		-\end{align*}
78		-{{/formula}}
79		-
80		-{{formula}}
81		-\begin{align*}
82		-z_{1,2}&=\frac{\square\pm\sqrt{\square^2-4\cdot\square\cdot\square}}{2\cdot\square}\\
83		-z_1&=\frac{\square+\square}{\square}; z_2=\frac{\square-\square}{\square}
84		-\end{align*}
85		-{{/formula}}
86		-
87		-{{formula}}
88		-\begin{align*}
89		-&\text{Resubst.: } \square := x^2\\
90		-&x_{1,2}^2=36 \Rightarrow x_{1,2}=\square\\
91		-&x_{3,4}^2=\square \Rightarrow x_{3,4}=\pm 2
92		-\end{align*}
93		-{{/formula}})))
94	94	{{/aufgabe}}
95	95
96	96	{{aufgabe id="Einfache Ungleichung" afb="I" kompetenzen="K4" quelle="Stefanie Schmidt" lizenz="BY-SA"}}