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Kelas : X SMA
Materi : Persamaan Mutlak
Pembahasan :
-5|3x - 7| + 4 = 14
-5|3x - 7| = 10
|3x - 7| = -2
Ingat nilai mutlak selalu POSITIF, karena disoal bernilai -2 (negatif). Maka tidak ada x yang memenuhi
Hp : { }
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|x - 2| = 3
x - 2 = 3
x = 3 + 2
x = 5
x - 2 = -3
x = -3 + 2
x = -1
Hp : {-1 , 5}
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|2x - 1| = 4
2x - 1 = 4
2x = 4 + 1
2x = 5
x = 5/2
2x - 1 = -4
2x = -3
x = -3/2
Hp : {-3/2 , 5/2}
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|3x + 2| = 5
3x + 2 = 5
3x = 5 - 2
3x = 3
x = 1
3x + 2 = -5
3x = -5 - 2
3x = -7
x = -7/3
Hp : {-7/3 , 1}
————————————————
|5x + 4| = -3
Ingat nilai mutlak selalu POSITIF, karena disoal bernilai -3 (negatif). Maka tidak ada x yang memenuhi
Hp : { }
————————————————
|2x - 6| = |x - 1|
(2x - 6)² = (x - 1)²
(2x - 6)² - (x - 1)² = 0
(3x - 7)(x - 5) = 0
x = 7/3
x = 5
Hp : {7/3 , 5}