0
0/1
2
Gleichungen
0/1/2
2.2
Algebraische Gleichungen
0/1/2/1
2.2.2
Quadratische Gleichungen
0/1/2/1/3
.
Beispiele:
-
2
x
2
-
4
x
+
6
=
0
-
2
x
2
-
4
x
+
6
=
0
|
:
(
-
2
)
x
2
+
2
x
-
3
=
0
.
D
=
4
>
0
⇒
Zwei verschiedene reelle Lösungen:
x
1
,
2
=
-
1
±
4
=
-
1
±
2
.
x
1
=
-
3
,
x
2
=
1
⇒
L
=
{
-
3
,
1
}
3
x
2
+
9
x
+
27
4
=
0
MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVCI8FfYJH8YrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbb a9q8WqFfeaY=biLkVcLq=JHqpepeea0=as0Fb9pgeaYRXxe9vr0=vr 0=vqpWqaaeaabaGaaiaacaqaaeaadaqaaqaaaOqaaabaaaaaaaaape GaaG4maGqaciaa=HhapaWaaWbaaSqabeaapeGaaGOmaaaakiabgUca RiaaiMdacaWF4bGaey4kaSYaaSaaa8aabaWdbiaaikdacaaI3aaapa qaa8qacaaI0aaaaiabg2da9iaaicdaaaa@40A3@
3
x
2
+
9
x
+
27
4
=
0
|
:
(
3
)
MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVCI8FfYJH8YrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbb a9q8WqFfeaY=biLkVcLq=JHqpepeea0=as0Fb9pgeaYRXxe9vr0=vr 0=vqpWqaaeaabaGaaiaacaqaaeaadaqaaqaaaOqaaabaaaaaaaaape GaaG4maGqaciaa=HhapaWaaWbaaSqabeaapeGaaGOmaaaakiabgUca RiaaiMdacaWF4bGaey4kaSYaaSaaa8aabaWdbiaaikdacaaI3aaapa qaa8qacaaI0aaaaiabg2da9iaaicdacaGG8bGaaiOoamaabmaapaqa a8qacaaIZaaacaGLOaGaayzkaaaaaa@44C6@
x
2
+
3
x
+
9
4
=
0
.
D
=
0
⇒
Eine (doppelte) reelle Lösung
.
x
1
,
2
=
-
1
,
5
±
0
⇒
L
=
{
-
1
,
5
}
x
2
-
4
x
+
1
3
=
0
D
=
-
0
<
0
⇒
Keine reellen Lösungen
.
.
