Summary

Zusammenfassung Quadratische Funktionen

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Course
Mathematik

Institution
Gymnasium

Hi. Hier findest du eine Zusammenfassung der Themen: p-q-Formle, ausklammern, quadratische Ergänzung, quadratische und lineare Funktionen/Gleichungen mit vielen Beispielen und Rechnungen.

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Uploaded on July 13, 2023
Number of pages 1
Written in 2022/2023
Type Summary

p q
p q formel
ausklammern
faktorisieren
wurzel ziehen
quadratische funktionen
quadratisch
linear
quadratische ergänzung

Institution Secondary school
Education Gymnasium
Course
Mathematik
School year 1

$5.92

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US C
CSC U C
U

& G:n-usklammern aka Faktorisieren kann man nur bei
folgender Form der Gleichung:ax" bx
= 0
=
& G:Umformen und Wurzel ziehen kann man nur b

3 S) :

ex2 -
27 0
=

27
+

3 S
2. x. X

.
2x2 6x
+
0
= T 5x2 x
=
-
x
3x
2
27
=

:3
Wurzel istd i e
2

Umkehrung von

x.12x 6) +
0
=
5x2 -
1x 0 = T x
2
9
=

8
-

X1 2x 6 0
=

6 4 15x 1) 0 3
x1 3
-

oder
+

·X2 =
-
=
= -
=

2x =
- 6 :2 x
05x
= -
1 0 =
1
+
2.
Lösung nicht
vergessen

x
2
=
- 3 5x 1
= :5

x 0,2
=

oder I

3 UC SO 6U6 UC SO. C

Errechnung der
quadratischen Ergänzung (9. E.): quadratischen Ergänzung (9. E.)

14:212 4
=

typisch quadratisch:x
+
6x 8
+

Übung:Qua
3 S) :

x +
4x 5
=

typisch linear: xoder 5x-7
y
=

D 6: SOC keins von beiden:
y 1
=
oder
y
x3
=
7
+

=
(a b) Beispiel(1):(x 212
2
+ a 2ab
+
b2
+
+
x
=

4x 4
+ +

(a b).(a b) a b2 +
+ + =
ab
+
ab
+ +
(x 2).(x 2)
+ +
x
=
2x 2x 4 +
+

=a
+
2ab b2
+ x2 4x
=
+
4
+

C C
C

C .
I- q 3 S :x 2
+
1 -
6x) 8 +
0
=

x
=
-

2 =(2 -

q
3 S -Rechnung einer quadratischen Gleichung m

11- 8
-

6 -
p x +
=
=
-

2

13
+ 2
4
eine
typische gadratische Gleichung:a x bx c 8 3 8 x 4x 5
9. E. 4 2x 12
+ = +

X
9
+
= = - = -

2 2
9
2
x (
+ -
6x) 8 +
0
=

x 3
=
= -
8 x 4x 4
+ +
5 4
=
+
bin. F x -
6

x2 px q
+ +
0
=

x 3
=
1
= (x 2 =9
+

x 3 1
= +
4
=

oder x 3
=
-
1 2
=

x 2 +
3
=

p

x 2 3-2 oder x + 2 3-2
=
+ = -

2
x 1 x 5 x 6
= =
-
-

&6 .
und optional wie man eine quadratische x
2

px
+

q
+
0
= -

9 x2 -
6x

und Gleichung in eine
p-a-Formel um - x2 px + =
-

q +Ip2 oder
( ({ 5;13 -
x
2
-
6x

+
(P (2 3
-

und rechnen kann:x px
+
=
-

9 I (x -

und x 2 (24
+
=
-

9 x 3
+

x -
3 5 =

3
+

3 S) :

mitder
p-g-Formel. x2 +
5x 4
+
0
=

x
2
+

19
= oder x
2
+ =
-

19 - x 8
=

5
p
=

9 4
=
x -
=

I (*9 +

oder x -
=

2 -

129 (

X =
-2I2 -

q

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