Question

Tentukan nilai x yang memenuhi persamaan berikut!

a. |4x + 5| = 8

b. |x - 6| - 9 = 3

c. |x - 3| = |2x + 4|

jawab dengan cara​

Answer 1

Materi : Konsep Mutlak

Bagian A

|4x + 5| = 8

1) ( 4x + 5 ) = 8

4x = 8 - 5

4x = 3

x = ¾

2) ( - 4x - 5 ) = 8

4x = - 8 - 5

4x = - 13

x = -13/4

HP = { x = ¾ , x = -13/4 }

Bagian B

|x - 6| - 9 = 3

1) ( x - 6 ) - 9 = 3

x - 15 = 3

x = 3 + 15

x = 18

2) ( - x + 6 ) - 9 = 3

x = - 3 - 3

x = -6

HP = { x = 18 , x = -6 }

Bagian C

|x - 3| = |2x + 4|

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

x - 3 = 2x + 4

2x - x = - 4 - 3

x = -7

2) ( x - 3 ) = ( - 2x - 4 )

2x + x = 3 - 4

x = -1

HP = { x = -1 , x = -7 }

Semoga bisa membantu