Ответ:
a) x1 = 3, x2 = -2
б) x1 = 3, x2 = -5
в) x1 = 1, x2 = -0.5
Объяснение:
а) x² - |x| - 6 = 0
x² - x - 6 = 0
D = 1 + 24 = 25 > 0
x1 = (1 + 5) : 2 × 1 = 6 : 2 = 3
x2 = (1-5) : 2 × 1= -4 : 2 = -2
x1 = 3, x2 = -2
б) x² + 2lxl - 15 = 0
x² + 2x - 15 = 0
D = 4 + 60 = 64 > 0
x1 = (-2 + 8) : 2 = 6 : 2 = 3
x2 = (-2 - 8) : 2 = -10 : 2 = -5
x1= 3, x2 = -5
в) 2x² - lxl - 1 = 0
2x² - x - 1 = 0
D = 1 + 8 = 9
x1 = (1 + 3) : (2 × 2) = 4 : 4 = 1
x2 = (1 - 3) : (2 × 2) = -2 : 4 = -1/2 = -0.5
x1 = 1, x2 = -0.5
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Answers & Comments
Ответ:
a) x1 = 3, x2 = -2
б) x1 = 3, x2 = -5
в) x1 = 1, x2 = -0.5
Объяснение:
а) x² - |x| - 6 = 0
x² - x - 6 = 0
D = 1 + 24 = 25 > 0
x1 = (1 + 5) : 2 × 1 = 6 : 2 = 3
x2 = (1-5) : 2 × 1= -4 : 2 = -2
x1 = 3, x2 = -2
б) x² + 2lxl - 15 = 0
x² + 2x - 15 = 0
D = 4 + 60 = 64 > 0
x1 = (-2 + 8) : 2 = 6 : 2 = 3
x2 = (-2 - 8) : 2 = -10 : 2 = -5
x1= 3, x2 = -5
в) 2x² - lxl - 1 = 0
2x² - x - 1 = 0
D = 1 + 8 = 9
x1 = (1 + 3) : (2 × 2) = 4 : 4 = 1
x2 = (1 - 3) : (2 × 2) = -2 : 4 = -1/2 = -0.5
x1 = 1, x2 = -0.5