1. dengan pemfaktoran, tentukan akar-akar persamaan kuadrat berikut. a. X2-X-2= 0 b. X2-X-12= 0 c. 2X2-X-3= 0 d. 6X2-X-2= 0

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}

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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}

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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}

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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}