persamaan nilai mutlak bentuk linear satu variabel dari: 1. 4|2×+3|-11=-6 2.|7×|=4+× tolong jawab dong

Mapel : Matematika
Kelas : X SMA
Materi : Persamaan Nilai mutlak

Pembahasan :
4|2x + 3| - 11 = -6
4|2x + 3| = 5
|2x + 3| = 5/4
(2x + 3)² = (5/4)²
(2x + 3)² - (5/4)² = 0
(2x + 3 + 5/4)(2x + 3 - 5/4) = 0
(2x + 17/4)(2x - 7/4) = 0
x = -17/8
x = 7/8

Hp : {-17/8 , 7/8}

—————————————
|7x| = 4 + x
(7x)² = (4 + x)²
(7x)² - (4 + x)² = 0
(7x + 4 + x)(7x - 4 - x) = 0
(8x + 4)(6x - 4) = 0
x = -1/2
x = 2/3

Hp : {-1/2 , 2/3}