ppt persamaan kuadrat
TRANSCRIPT
![Page 1: Ppt Persamaan Kuadrat](https://reader033.vdocuments.site/reader033/viewer/2022050702/557213f9497959fc0b9374c2/html5/thumbnails/1.jpg)
Matematika SMA ( Semester Ganjil )
KDMenu Utama
INDIKATOR MATERI EVALUASI
Persamaan Kuadrat
Sasaran : Kelas XDurasi : 15 menit
![Page 2: Ppt Persamaan Kuadrat](https://reader033.vdocuments.site/reader033/viewer/2022050702/557213f9497959fc0b9374c2/html5/thumbnails/2.jpg)
KOMPETENSI DASAR
Menggunakan sifat dan aturan tentang akar persamaan kuadrat.
INDIKATOR
INDIKATOR
Menentukan akar – akar persamaan kuadrat dengan rumus.
![Page 3: Ppt Persamaan Kuadrat](https://reader033.vdocuments.site/reader033/viewer/2022050702/557213f9497959fc0b9374c2/html5/thumbnails/3.jpg)
Welcome to math’ class .....
Prepare your self to develop your math’ ability
![Page 4: Ppt Persamaan Kuadrat](https://reader033.vdocuments.site/reader033/viewer/2022050702/557213f9497959fc0b9374c2/html5/thumbnails/4.jpg)
Ayu novitasari.wordpress.comAyu novitasari.wordpress.com
nur
riad
yuan
lilih
yuni ana
wiyati
maya
tianur
tiwi yuli
kiki
rendy
yuniar
![Page 5: Ppt Persamaan Kuadrat](https://reader033.vdocuments.site/reader033/viewer/2022050702/557213f9497959fc0b9374c2/html5/thumbnails/5.jpg)
”Genius itu di ciptakan, bukan di turunkan” “
Ayu novitasari.wordpress.comAyu novitasari.wordpress.com
![Page 6: Ppt Persamaan Kuadrat](https://reader033.vdocuments.site/reader033/viewer/2022050702/557213f9497959fc0b9374c2/html5/thumbnails/6.jpg)
MATERI
Bentuk Umum
Menyelesaikan Persamaan Kuadrat
Menyelesaikan Jumlah & Hasil Kali Akar – akar
Persamaan Kuadrat
![Page 7: Ppt Persamaan Kuadrat](https://reader033.vdocuments.site/reader033/viewer/2022050702/557213f9497959fc0b9374c2/html5/thumbnails/7.jpg)
Bentuk umum persamaan kuadrat yakni:
a, b, dan c adalah bilangan real
dan a ≠ 0
02 cbxaxdimana:
![Page 8: Ppt Persamaan Kuadrat](https://reader033.vdocuments.site/reader033/viewer/2022050702/557213f9497959fc0b9374c2/html5/thumbnails/8.jpg)
Apakah rumus akar –
akar persamaan
kuadrat ???
![Page 9: Ppt Persamaan Kuadrat](https://reader033.vdocuments.site/reader033/viewer/2022050702/557213f9497959fc0b9374c2/html5/thumbnails/9.jpg)
Misalkan akar – akar persamaan tersebut adalah x1 dan x2, maka:
a
acbbx
2
42
a
acbbx
a
acbbx
2
4
2
4 2
2
2
1
dan
Maka kita dapat menghitung jumlah dan hasil kali akar – akar persamaan kuadrat tersebut.
Jumlah & Hasil Kali Akar – akar Persamaan
Kuadrat
![Page 10: Ppt Persamaan Kuadrat](https://reader033.vdocuments.site/reader033/viewer/2022050702/557213f9497959fc0b9374c2/html5/thumbnails/10.jpg)
Jumlah Akar – akar Persamaan Kuadrat
a
ba
ba
acbbacbb
a
acbacbb
a
acbb
a
acbb
xx
2
2
2
44
2
4b4
2
4
2
4
22
22
22
21akar-akar jumlah
Jadi , Jumlah akar – akar = x1 + x2 =
ab
![Page 11: Ppt Persamaan Kuadrat](https://reader033.vdocuments.site/reader033/viewer/2022050702/557213f9497959fc0b9374c2/html5/thumbnails/11.jpg)
Hasil Kali Akar – akar Persamaan Kuadrat
a
ca
aca
acbb
a
acbacbbacbbb
a
acbacbb
a
acbb
a
acbb
xx
4
4
4
4
4
444
4
4b4
2
4
2
4
2
2
22
2
2222
2
22
22
21
akar-akar kali Hasil
Jadi , Hasil kali akar – akar = x1 x2 =
a
c
![Page 12: Ppt Persamaan Kuadrat](https://reader033.vdocuments.site/reader033/viewer/2022050702/557213f9497959fc0b9374c2/html5/thumbnails/12.jpg)
Ingat!!!
22
21211
322
31
21212
22
1
22
21
22
21
42
41
21213
213
23
1
212
212
22
1
2
21
21
21
3
2
4
xxxxxxxx
xxxxxx
xxxxxx
xxxxxxxx
xxxxxx
a
D
a
acbxx
a
cxx
a
bxx
Jumlah & Hasil Kali Akar – akar Persamaan Kuadrat
![Page 13: Ppt Persamaan Kuadrat](https://reader033.vdocuments.site/reader033/viewer/2022050702/557213f9497959fc0b9374c2/html5/thumbnails/13.jpg)
Contoh:
Jika x1 dan x2 adalah akar- akar persamaan x2 + 2x + 8 = 0 maka tentukan:
a. x1 + x2
b. x1 . x2
c. (x1) 2
+ (x2) 2
d. (x1) 2
. (x2) 2
![Page 14: Ppt Persamaan Kuadrat](https://reader033.vdocuments.site/reader033/viewer/2022050702/557213f9497959fc0b9374c2/html5/thumbnails/14.jpg)
Penyelesaian:
a. x1 + x2 = = =- 2 b. x1 . X2 = = = 8
x2 + 2x + 8 = 0 a = 1 b = 2 c = 8
![Page 15: Ppt Persamaan Kuadrat](https://reader033.vdocuments.site/reader033/viewer/2022050702/557213f9497959fc0b9374c2/html5/thumbnails/15.jpg)
c. (x1) 2
+ (x2) 2 = (x1 + x2 )2 - 2 x1
. X2
= (-2 )2 - 2 (8) = - 12
d. (x1) 2
. (x2) 2 = (x1 .x2)
2
= 64
![Page 16: Ppt Persamaan Kuadrat](https://reader033.vdocuments.site/reader033/viewer/2022050702/557213f9497959fc0b9374c2/html5/thumbnails/16.jpg)
home work offline
Tugas offline Latihan LKS.
home work onlineCheck out the quiz on your ayu novitasari account
Ayu novitasari.wordpress.comAyu novitasari.wordpress.com
![Page 17: Ppt Persamaan Kuadrat](https://reader033.vdocuments.site/reader033/viewer/2022050702/557213f9497959fc0b9374c2/html5/thumbnails/17.jpg)
next meeting
Deskriminan....
You can prepare yourself….
with read the materials in your text bookAyu novitasari.wordpress.comAyu novitasari.wordpress.com
![Page 18: Ppt Persamaan Kuadrat](https://reader033.vdocuments.site/reader033/viewer/2022050702/557213f9497959fc0b9374c2/html5/thumbnails/18.jpg)
See you in the next meeting
Sampai jumpa di pertemuan selanjutnya