
9A MENYUSUN PERSAMAAN KUADRAT
Presentation
•
Mathematics
•
9th Grade
•
Medium
Siti Sundari
Used 2+ times
FREE Resource
7 Slides • 10 Questions
1
by Siti Sundari
2
Jika akar- akar suatu persamaan kuadrat adalah x1 dan x2, maka untuk menyusun persamaan kuadrat tersebut digunakan rumus berikut:
( x- x1 ) ( x- x2) = 0
3
x1 + x2 =
x1 x2
4
x2 + x + = 0
5
Contoh:
1. Susunlah persamaan kuadrat yang akar- akarnyaa 7 dan -4 !
jawab:
i) Dengan menggunakan rumus ( x - x1) ( x - x2) = 0
x1 = 7 dan x2 = -4
( x - 7 ) ( x + 4 ) = 0
x2 + 4x - 7x -28 = 0
x2 - 3x -28 = 0
Jadi,persamaan kuadrat yang akar- akarnya 7 dan -4 adalah
6
ii) Menggunakan sifat akar persamaan
x1 + x2 = 7 + ( -4)
= -3
x1 X x2 = 7 X ( -4)
Persamaan kuadrat yang akar- akarnya 7 dan -4 adalah
x2 +
x2 - 3x -28 = 0
7
Multiple Choice
Pada persamaan x2 +2x −15 = 0 nilai akar x1 + x2 adalah....
-2
-1
0
1
8
Multiple Choice
Pada persamaan x2 +2x −15 = 0 nilai akar x1 × x2 adalah....
-15
-14
14
15
9
Multiple Choice
Pada persamaan x2 +2x −15 = 0 nilai akar 4x1 +5 x2 adalah....
-5 atau -13
-4 atau -13
-3atau -13
-2 atau -13
10
Multiple Choice
Pada persamaan y2 −8y +10 = 0 nilai akar y1+y2 adalah....
4
5
6
7
11
Multiple Choice
Pada persamaan y2 −8y +10 = 0 nilai akar y1 × y2 adalah....
10
11
12
13
12
Multiple Choice
Susunan persamaan kadrat dalam x yang akar- akarnya 7 dan 11 adalah....
x2 − 18x +77 = 0
x2 − 19x +77 = 0
x2 − 20x +77 = 0
x2 − 21 x +77 = 0
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Multiple Choice
Susunan persamaan kadrat dalam x yang akar- akarnya 5 dan -9 adalah....
x2 − 4y −45 = 0
x2 − 4y + 45 = 0
x2− 5y −45 = 0
x2 − 5y + 45 = 0
14
Multiple Choice
Susunan persamaan kadrat dalam x yang akar- akarnya -10 dan 5 adalah....
x2 − 5x −50 = 0
x2 − 5x − 50 = 0
x2− 6x −50 = 0
x2 +5x −55= 0
15
Multiple Choice
Susunan persamaan kadrat dalam x yang akar- akarnya -6 dan 14 adalah....
x2 − 8x −84 = 0
x2 − 8x +84 = 0
x2− 9x −84 = 0
x2 +9x −84= 0
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Multiple Choice
Susunan persamaan kadrat dalam x yang akar- akarnya -9 dan -20 adalah....
x2 +29x +180 = 0
x2 − 29x +180= 0
x2+29x −181 = 0
x2 +29x +181= 0
17
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by Siti Sundari
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