tentukan himpunan penyelesaian dari
[tex] |2 \times - 5| = |x + 1| [/tex]
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[tex] |2 \times - 5| = |x + 1| [/tex]
ᴘᴇɴʏᴇʟᴇꜱᴀɪᴀɴ
Diketahui :
- |2x – 5| = |x + 1|
Ditanya :
- Himpunan penyelesaian ....?
Jawaban :
|2x – 5| = |x + 1|
(2x – 5)² = (x + 1)²
4x² – 20x + 25 = x² + 2x + 1
3x² – 4x – 18x + 24 = 0
(3x – 4)(x – 6) = 0
3x – 4 = 0 atau x – 6 = 0
3x = 0 + 4 x = 0 + 6
3x = 4 x = 6
x = 4/3
ᴋᴇꜱɪᴍᴘᴜʟᴀɴ
Jadi, HP {4/3, 6}
