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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. 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 = -
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

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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