himpunan penyelesaian dari |3x-1|=2/3
Matematika
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Pertanyaan
himpunan penyelesaian dari |3x-1|=2/3
2 Jawaban
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1. Jawaban Suseno76
3x - 1 = 2/3
3x = 2/3 + 1
3x = 3/3
x = 3/3 ÷ 3
x = 1/3 -
2. Jawaban stephaniechu94
| 3x - 1| =[tex] \frac{2}{3} [/tex]
3 x | 3x - 1 | = 2
|3 x |3x-1|| = 2
|9x -3 | = 2
[tex] |9x-3|^{2} = 2^{2} [/tex]
81x²-54x+9 = 4
81x² + 54x + 5 = 0
[tex] \frac{(81x + 45 )(81x + 5) }{81} [/tex] = 0
[tex] \frac{(9x+5)(81x+5)}{9} = 0[/tex]
[tex] \frac{9x+5}{9} = 0[/tex]
9x+5 = 0
9x = -5
x = [tex] \frac{-5}{9} [/tex]
[tex] \frac{81x+5}{9} = 0[/tex]
81x + 5 = 0
81x = -5
x = [tex] \frac{-5}{81} [/tex]
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