tentukan himpunan penyelesaian dari A.|4-3×|=4 B.|2×+5|=| 7-2×|

Bab Nilai Mutlak
Matematika SMA Kelas X

a] |4 - 3x| = 4

4 - 3x = 4
-3x = 4 - 4
x = 0/-3
x = 0

4 - 3x = -4
-3x = -4 - 4
x = -8/-3
x = 8/3

HP = {0, 8/3}

b} |2x + 5| = |7 - 2x|

(2x + 5)² = (7 - 2x)²
(2x + 5)² - (7 - 2x)² = 0
(2x + 5 + 7 - 2x) (2x + 5 - 7 + 2x) = 0
12 . (4x - 2) = 0
4x - 2 = 0
4x = 2
x = 2/4
x = 1/2

HP = { 1/2 }