1. dengan pemfaktoran, tentukan akar-akar persamaan kuadrat berikut.

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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}