|3+2X|=|4-X]| pakai cara

Materi : Nilai Mutlak
Bahasan : Persamaan Nilai Mutlak
Jawaban : x = 1/3 atau x = - 7

Langkah - langkah :
|3 + 2x| = |4 - x|
(3 + 2x)² = (4 - x)²
9 + 12x + 4x² = 16 - 8x + x²
3x² + 20x - 7 = 0
(3x - 1) (x + 7) = 0
x = 1/3 atau x = - 7

|3 + 2x| = |4 - x|
(3 + 2x)² - (4 - x)² = 0
➡ a² - b² = (a + b)(a - b)
(x + 7)(3x - 1) = 0
x = -7 atau x = 1/3

HP = {-7 , 1/3}