Himpunan penyelesaian |x-2| = 2x+6
Matematika
Meichelyohana
Pertanyaan
Himpunan penyelesaian |x-2| = 2x+6
1 Jawaban
-
1. Jawaban sjdhana
|x - 2| = 2x + 6
[√(x + 2)²]² = (2x + 6)²
(x + 2)² - (2x + 6)² = 0
[(x + 2) + (2x + 6)] [(x + 2) - (2x + 6)] = 0
(3x + 8) (-x - 6) = 0
3x + 8 = 0
3x = -8
x = -8/3
-x - 6 = 0
-x = 6
x = -6
himpunan penyelesaian = {-6 , -8/3}