Question

Nilai mutlak dari

1) 2|3x-8| = 10
2) 2x+|3-8| = -4
3) 5|2x-3| = 2|3-5x|

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}

————————————————
2|3x - 8| = 10
|3x - 8| = 5

3x - 8 = 5
3x = 13
x = 13/3

3x - 8 = -5
3x = 3
x = 1

Hp : {1 , 13/3}