Tentukan himpunan penyelesaian dari 3 |2x-3|^2 +5 |2x-3| -2 = 0 PAKAI CARA YAA

3|2x – 3|² + 5|2x – 3| – 2 = 0

misal n = |2x – 3|

3n² + 5n – 2 = 0

3n² + 6n – n – 2 = 0

3n(n + 2) – 1(n + 2) = 0

(n + 2)(3n – 1) = 0

n + 2 = 0 atau 3n – 1 = 0

n = – 2 atau n = 1/3

|2x – 3| = -2 → x = ∅ (nilai mutlak ≥ 0)

|2x – 3| = 1/3

2x – 3 = ⅓ atau 2x – 3 = -⅓

6x – 9 = 1 atau 6x – 9 = -1

6x = 10 atau 6x = 8

x = 10/6 atau x = 8/6

x = 5/3 atau x = 4/3

x = 1⅔ atau x = 1⅓

HP = {1⅓, 1⅔}

Semoga membantu ^_^