Question

Persamaan mutlak
1) 2x + | 3x-8 | = -4
2) 5 | 2x-3 | = 2 | 3-5x |

| = tanda mutlak

Answer 1

Mapel : Matematika
Kelas : X SMA
Bab : Mutlak

Pembahasan :
5|2x - 3| = 2|3 - 5x|
(10x - 15)² = (6 - 10x)²
(10x - 15)² - (6 - 10x)² = 0
(10x - 15 + 6 - 10x)(10x - 15 - 6 + 10x) = 0
(-9)(20x - 21) = 0
-180x + 189 = 0
180x = 189
x = 189/180
x = 21/20

Hp = {21/20}

————————————————
2x + |8 - 3x| = -4
|8 - 3x| = -4 - 2x
(8 - 3x)² = (-4 - 2x)²
(8 - 3x)² - (-4 - 2x)² = 0
(-5x + 4)(-x + 12) = 0
x = 4/5
x = 12

Hp : {4/5 , 12}