|x – 7| = |3x – 1|
Tentukan nilai x yang memenuhi setiap persamaan berikut.
|x – 7| = |3x – 1|
Pembahasan:
|x – 7|2 = |3x – 1|2
x2 – 14x + 49 = 9x2 – 6x + 1
9x2 – 6x + 1 – x2 + 14x – 49 = 0
8x2 + 8x – 48 = 0
x2 + x – 6 = 0
(x + 3)(x – 2) = 0
x = -3 atau x = 2
Hp {-3, 2}
|x – 7| = |3x – 1|
Pembahasan:
|x – 7|2 = |3x – 1|2
x2 – 14x + 49 = 9x2 – 6x + 1
9x2 – 6x + 1 – x2 + 14x – 49 = 0
8x2 + 8x – 48 = 0
x2 + x – 6 = 0
(x + 3)(x – 2) = 0
x = -3 atau x = 2
Hp {-3, 2}
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