The document provides examples of factorizing quadratic equations and completing the square to solve quadratic equations. It discusses: 1) Factoring quadratic expressions like x2 + 5x - 50, x2 + 3x, and 2x2 + 3x + 1. 2) Completing the square to solve equations like x2 + 5x + 4 = 0 and 2x2 - 14x + 12 = 0. 3) Using the quadratic formula to solve equations like x2 - 15x + 30 = 0, x2 + 8x - 20 = 0, and x2 + 3x = 0. 4) Setting the discriminant equal to 0 to find the value of p that makes the equation

1. Kelompok F
Ketua : ERVIANATUN NASIHAH (03)
Anggota : EKA DEVI WIDYANTARI (07)
SHERLY FELIANA L (09)
WINDA KARCANA YANTI (26)
1. Cara pemfaktoran
a) x2 + 5x – 50 = 0
x2 + 10x – 5x – 50 = 0
x (x+10) – 5 (x+10) = 0
(x-5) (x+10) = 0
(x-5) = 0 atau (x+10) = 0
x = 5 atau x = -10
b) x2 + 3x = 0
x ( x + 3) = 0
(x = 0) atau ( x + 3) = 0
x = 0 atau x = -3
c) x2 – 4 = 0
(x + 4) (x - 4)
(x + 4) = 0 atau (x – 4) = 0
x = -4 atau x = 4
d) 2x2 + 3x + 1= 0
2x2 + 1x + 2x + 1 = 0
x (2x + 1) + 1 (2x + 1)
(x + 1) (2x + 1) = 0
(x + 1) = 0 atau (2x + 1) = 0
x = -1 atau 2x = -1
x = -1
x = -2

2. e) 3x2 + 5x – 2 = 0
3x2 + 6x – 1x – 2 = 0
3x (x + 2) – 1 (x + 2) = 0
(3x – 1) (x +2) = 0
(3x – 1) = 0 atau (x + 2) = 0
3x = 1 atau
x = -2
x = 3
x = -2
2. Cara melengkapkan kuadrat sempurna
a) x2 + 5x + 4 = 0
x2 +
x+2=0
x2 +
x = -2
(x +
)2 -
(x +
)2 = -2 +
(x +
)2 =
x+
=
= -2
( )
x=
+( )
x1 =
+( )
x1 =
-
x1 =
-
x1 =
x2 = - ( )
x2 = +
x2 =
x2 =
+
:2

3. b) 2x2 – 14x + 12 = 0
x2 – 7x + 6 = 0
x2 – 7x = -6
x2 - x = -3
(x - )2 -
= -3
(x - )2 = -3 +
(x - )2 =
x-
=
x=
x1 = +
x1 =
x1 = 2
x2 = x2 =
x2 =
3. Menggunakan rumus abc
a) x2 -15x + 30 = 0
x1.2 =
x1.2 =
x1.2 =
x1.2 =
x1 =
x2 =
a = 1 , b = -15 , c = 30

4. b) x2 + 8x – 20 = 0
a = 1 , b = 8 , c = -20
x1.2 =
x1.2 =
x1.2 =
x1.2 =
x1.2 =
x1.2 = -4
6
x1 = -4 + 6
x1 = 2
x2 = -4 – 6
x2 = -10
c) x2 + 3x = 0
x2 + 3x + 0 = 0
x1.2 =
x1.2 =
x1.2 =
x1.2 =
x1 =
x2 =
4. (p + 3) x2 + 3x – 4 = 0
Diskriminannya 0
D = b2 – 4ac
0 = 32 – 4.(p+3).-4
0 = 9 + 16(p+3)
a=1,b=3,c=0

5. 0 = 9 + 16p + 48
0 = 16p + 57
0 – 57 = 16p
-57 = 16p
p =