Carilah akar persamaan 1. X² + 10x - 24= 0 2. a² - a - 56 = 0 3. m² - 4m = 96 4. 4x² - 3x - 5 = 0 5. X² + 7x = 8
Matematika
festinbelolo09
Pertanyaan
Carilah akar persamaan
1. X² + 10x - 24= 0
2. a² - a - 56 = 0
3. m² - 4m = 96
4. 4x² - 3x - 5 = 0
5. X² + 7x = 8
1. X² + 10x - 24= 0
2. a² - a - 56 = 0
3. m² - 4m = 96
4. 4x² - 3x - 5 = 0
5. X² + 7x = 8
1 Jawaban
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1. Jawaban LOVEJOY
Persamaan Kuadrat
1][
x² + 10x - 24 = 0
(x + 12)(x - 2) = 0
x = -12 atau x = 2
2][
a² - a - 56 = 0
(x - 8)(x + 7) = 0
x = 8 atau x = -7
3][
m² - 4m = 96
m² - 4m - 96 = 0
(m + 8)(m - 12) = 0
m = -8 atau m = 12
4][
4x² - 3x - 5 = 0
Gunakan rumus abc dengan a = 4, b = -3, dan c = -5
[-b ± √(b² - 4ac)] / 2a
= [3 ± √(-3² - 4 . 4 . -5)] / 2 . 4
= (3 ± √89) / 8
(3 + √89) / 8 atau (3 - √89) / 8
5][
x² + 7x = 8
x² + 7x - 8 = 0
(x - 1)(x + 8) = 0
x = 1 atau x = -8