NILAI MUTLAK |x| = 5 |2x| = 10 |x+1| = 3 |3x+2| = 5 |2x-4| = 5 Tolong bantu ya

Mapel : Matematika
Kelas : X SMA
Bab : Mutlak

Pembahasan :
|x| = 5

Mutlak x = 5, x = -5

Hp : {-5 , 5}

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|2x| = 10

2x = 10
x = 5

2x = -10
x = -5

Hp : {-5 , 5}

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|x + 1| = 3
(x + 1)² = 3²
(x + 1)² - 3² = 0
(x + 1 - 3)(x + 1 + 3) = 0
(x - 2)(x + 4) = 0
x = -4
x = 2

Hp : {-4 , 2}

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|3x + 2| = 5
(3x + 2)² = 5²
(3x + 2)² - 5² = 0
(3x + 2 + 5)(3x + 2 - 5) = 0
(3x + 7)(3x - 3) = 0
x = -7/3
x = 1

Hp : {-7/3 , 1}

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|2x - 4| = 5
(2x - 4)² = 5²
(2x - 4)² - 5² = 0
(2x - 4 + 5)(2x - 4 - 5) = 0
(2x + 1)(2x - 9) = 0
x = -1/2
x = 9/2

Hp : {-1/2 , 9/2}