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Verified answer
Bab Persamaan LinearMatematika SMP Kelas VIII
2(3x - 6)/((x + 1) (x - 1) + 1/(x + 1) = 4/(x - 1)
(6x - 6 + x - 1)/(( x + 1) (x - 1) = 4 (x + 1) / ((x + 1) (x - 1)
7x - 7 = 4x + 4
7x - 4x = 4 + 7
3x = 11
x = 11/3
x = 3 2/3
jawabannya C
Verified answer
Matematika VIII SMP→→ PLSV ←←
Pembahasan :
[2(3x - 6)/(x + 1)(x - 1)] + 1/(x + 1) = 4/(x - 1)
[(6x - 12)/(x² - 1)] + 1/(x + 1) = 4/(x - 1)
[(6x² - 12)/(x² - 1)] + (x - 1)/(x² - 1) = 4/(x - 1)
[(6x² - 12 + x - 1)/(x² - 1) = 4/(x - 1)
(6x² - x - 13)/(x² - 1) = 4/(x - 1)
6x³ - 7x² - 12x + 13 = 4x² - 4
6x³ - 11x² - 12x + 17 = 0
Cari faktor dari 17 yang memenuhi...
x = 1