Question

Tentukan himpunan penyelesaian dari persamaan nilai mutlak berikut:
a). Ix+3I=I2x-1I
minta tolong banget

Answer 1

Verified answer

Bab Nilai Mutlak
Matematika SMA Kelas X

|x + 3| = |2x - 1|

(x + 3)² = (2x - 1)²
(x + 3)² - (2x - 1)² = 0
(x + 3 + 2x - 1) (x + 3 - 2x + 1) = 0
(3x + 2) (-x + 4) = 0
3x + 2 = 0
3x = -2
x = -2/3

-x + 4 = 0
-x = -4
x = 4

HP = { -2/3, 4 }