Penyelesaian dari |2c + 9| = |c - 3|
Matematika
anggi1054
Pertanyaan
Penyelesaian dari |2c + 9| = |c - 3|
2 Jawaban
-
1. Jawaban Anonyme
Kelas 10 Matematika
Bab Nilai Mutlak
| 2c + 9 | = | c - 3 |
(2c + 9)² = (c - 3)²
(2c + 9)² - (c - 3)² = 0
(2c + 9 + c - 3) (2c + 9 - c + 3) = 0
(3c + 6) (c + 12) = 0
3c + 6 = 0
3c = -6
c = -2
c + 12 = 0
c = -12 -
2. Jawaban syamrosa
¦2c+9¦=¦c-3¦
=> sifat ¦x¦=¦y¦
x^2=y^2
(2c+9)^2=(c-3)^2
(2c+9)(2c+9)=(c-3)(c-3)
4c^2+18c+18c+81=c^2-3c-3c+9
4c^2+36c+81=c^2-6c+9
4c^2+36c+81-c^2+6c-9=0
3c^2+42c+72=0 :3
c^2+14+24=0
(c+12)(c+2)
=>c+12=0
c=-12
=>c+2=0
c=-2
slse trima kasih