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Similar to Tugas matik iii
Similar to Tugas matik iii (20)
Tugas matik iii
- 1. Kelompok F
Ketua : ERVIANATUN NASIHAH (03)
Anggota : EKA DEVI WIDYANTARI (07)
SHERLY FELIANA L (09)
WINDA KARCANA YANTI (26)
1. 4x2 – 2x -1 = 0
a. x1 + x2 =
=
=
=
b. x1 . x2 =
=
c. x12 + x22 = (x1 + x2)2 – 2.x1.x2
= ( )2 – 2.
=
+
=
d.
+
=
=
:
=
.
- 2. =
= -2
2. 3x2 + (p – 2) x – 1 = 0
=2
=2
=2
-p + 2 = 2.3
-p + 2 = 6
-p = 6 – 2
-p = 4
p = -4
jadi akar – akarnya :
3x2 + (p -2) x – 1 = 0
3x2 + (-4 - 2) x – 1 = 0
3x2 +(-6) x – 1 = 0
3x2 – 6x – 1 = 0
x2 – 2x -
=0
x2 – 2x =
x2 – 2x (-1)2 =
(x- 1)2 =
+1
(x – 1)2 =
+ (-1)2
+
(x – 1)2 =
(x – 1) =
x–1=
atau x – 1 = -
- 3. x1 = 1 +
atau
3. x2 – px + 6 = 0
x2 = 1 -
x1 = 2
x1.x2 =
2.x2 =
2.x2 = 6
x2 =
x2 = 3
x1 + x2 =
2+3=
2+3=p
5=p
4. (p – q)2 = p2 – 2pq + q2
= p2 + q2 – 2pq
= (p + q)2 – 2pq – 2pq
= (p + q)2 – 4pq
= ( )2 – 4
=
=
-4