Diketahui persamaan 2(3x-6)/(x-1)(x+1) + 1/x+1 = 4/x-1 nilai x yang memenuhi persamaan adalah... a. -5 2/3 b. -4 1/3 c. 1 d. 4 1/3 e. 5 2/3

Mapel : Matematika
Kelas : X SMA
Materi : Persamaan Kuadrat

Pembahasan :
2(3x - 6)/(x - 1)(x + 1) + 1/(x + 1) = 4/(x - 1)
(6x - 12 + x - 1)/(x - 1)(x + 1) = 4/(x - 1)
(7x - 13)/(x - 1)(x + 1) = 4/(x - 1)
(7x - 13)/(x + 1) = 4
7x - 13 = 4(x + 1)
7x - 13 = 4x + 4
7x - 4x = 4 + 13
3x = 17
x = 17/3
x = 5 2/3

Jawaban : E