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meliklii
@meliklii
August 2022
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2х²+ 4х-5=0 найди сумму корней уравнения
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Хуqожнuк
2x² + 4x - 5 = 0
D = 4² - 4 * (-5) * 2 = 16 + 40 = 56
√D = √56 = 2√14
x₁ = (-4 - 2√14)/4 = -1 - √14/2
x₂ = (-4 + 2√14)/4 = √14/2 - 1
x₁ + x₂ = -1 - √14/2 + √14/2 - 1 = -2
Ответ: -2
2 votes
Thanks 1
meliklii
спасибо большое
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Answers & Comments
D = 4² - 4 * (-5) * 2 = 16 + 40 = 56
√D = √56 = 2√14
x₁ = (-4 - 2√14)/4 = -1 - √14/2
x₂ = (-4 + 2√14)/4 = √14/2 - 1
x₁ + x₂ = -1 - √14/2 + √14/2 - 1 = -2
Ответ: -2