a. X2-X-2= 0
b. X2-X-12= 0
c. 2X2-X-3= 0
d. 6X2-X-2= 0
1. dengan pemfaktoran, tentukan akar-akar persamaan kuadrat berikut.
Jawaban Terkonfirmasi
Materi : Persamaan Kuadrat
Pembahasan :
x² – x – 2 = 0
x² + x – 2x – 2 = 0
x(x + 1) – 2(x + 1) = 0
(x – 2)(x + 1) = 0
x = -1
x = 2
Hp : {-1 , 2}
————————————————
x² – x – 12 = 0
x² – 4x + 3x – 12 = 0
x(x – 4) + 3(x – 4) = 0
(x + 3)(x – 4) = 0
x = -3
x = 4
Hp : {-3 , 4}
————————————————
2x² – x – 3 = 0
2x² + 2x – 3x – 3 = 0
2x(x + 1) – 3(x + 1) = 0
(2x – 3)(x + 1) = 0
x = -1
x = 3/2
Hp : {-1 , 3/2}
————————————————
6x² – x – 2 = 0
6x² – 3x + 4x – 2 = 0
3x(2x – 1) + 2(2x – 1) = 0
(3x + 2)(2x – 1) = 0
x = -2/3
x = 1/2
Hp : {-2/3 , 1/2}