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Nomor 1.
|1 + 2(x-1)| = |3x + 7|
|2x - 1| = |3x + 7|
Menjadi:
(2x - 1)² = (3x + 7)²
Selesaikan:
4x² - 4x + 1 = 9x² + 42x + 49
0 = 5x² + 46x + 48
0 = (5x + 6)(x + 8)
Sehingga:
HP = {-6/5, -8}
Nomor 2.
Cara yang sama memberikan:
(5x-3)² = (3x+5)²
Menjadi:
25x² - 30x + 9 = 9x² + 30x + 25
0 = 16x² - 60x - 16
0 = 4(4x² - 15x - 4)
0 = 4x² - 15x - 4
0 = (4x + 1)(x - 4)
Didapat:
HP = {-1/4, 4}