Tentukan nilai x yang memenuhi pers A. |x+4|=6 B. |x-5|=4

Bab Nilai Mutlak

A. |x + 4| = 6
x + 4 = 6
x = 6 - 4
x = 2
atau
x + 4 = -6
x = -6 - 4
x = -10

B. |x - 5| = 4
x - 5 = 4
x = 9
atau
x - 5 = -4
x = 1

Bab Nilai Mutlak
Matematika SMA Kelas X

A] |x + 4| = 6
(x + 4)² = 6²
(x + 4)² - 6² = 0
(x + 4 + 6) (x + 4 - 6) = 0
(x + 10) (x - 2) = 0
x = -10 atau x = 2

B} |x - 5| = 4
(x - 5)² = 4²
(x - 5)² - 4² = 0
(x - 5 + 4) (x - 5 - 4) = 0
(x - 1) (x - 9) = 0
x = 1 atau x = 9