Tentukan penyelesain himpunan dari |3x+2| = |2x-3|
|3x + 2| = |2x – 3|
(3x + 2)² = (2x – 3)²
(3x + 2)² – (2x – 3)² = 0
(3x + 2 + 2x – 3)(3x + 2 – 2x + 3) = 0
(5x – 1)(x + 5) = 0
5x – 1 = 0
5x = 1
x = 1/5
x + 5 = 0
x = -5
HP = {-5, 1/5}
Tentukan penyelesain himpunan dari |3x+2| = |2x-3|
|3x + 2| = |2x – 3|
(3x + 2)² = (2x – 3)²
(3x + 2)² – (2x – 3)² = 0
(3x + 2 + 2x – 3)(3x + 2 – 2x + 3) = 0
(5x – 1)(x + 5) = 0
5x – 1 = 0
5x = 1
x = 1/5
x + 5 = 0
x = -5
HP = {-5, 1/5}