|x-2| =|2x-1| persamaan x

Bab Nilai Mutlak
Matematika SMA Kelas X

|x - 2| = |2x - 1|

(x - 2)² = (2x - 1)²
(x - 2)² - (2x - 1)² = 0
(x - 2 + 2x - 1) (x - 2 - 2x + 1) = 0
(3x - 3) (-x - 1) = 0
3x - 3 = 0      atau         - x - 1 = 0
3x = 3                          -x = 1
x = 1                            x = -1

HP = { -1, 1 }

Materi : Persamaan Nilai Mutlak
Kelas : X SMA

Ix - 2I = I2x - 1I
Ix - 2I^2 = I2x - 1I^2
x^2- 4x + 4 = 4x^2- 4x + 1
x^2 - 4x^2 - 4x + 4x + 4 - 1 = 0
-3x^2 + 3 = 0
-------------------- : 3
-x^2 + 1 = 0
-------------------- × (-)
x^2 - 1 = 0

◆◆◆◆◆◆◆◆◆◆◆◆◆◆◆◆
◆◆◆(x - 1)(x + 1) = 0◆◆◆
◆◆◆◆◆◆◆◆◆◆◆◆◆◆◆◆

X - 1 = 0
X = 1

X + 1 = 0
X = -1

Hp = { -1 , 1 }