Задание
Выполни задание
Пользуясь теоремой, обратной теореме Виета, составь квадратное уравнение, имеющее заданные корни \(x\_1\) и \(x\_2\) . Заполни таблицу.
\(x_1\) |
\(x_2\) |
\(x_1 + x_2\) |
\(x_1 \cdot x_2\) |
\(ax^2 + bx + c = 0\) |
\(3\) |
\(-4\) |
\(-1\) |
\(-12\) |
\(x^2 + x - 12 = 0\) |
\(-1\) |
\(-8\) |
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\(-5\) |
\(1\) |
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\(0,2\) |
\(0,7\) |
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\(\dfrac{1}{3}\) |
\(-\dfrac{1}{2}\) |
\(-\dfrac{1}{6}\) |
\(-\dfrac{1}{6}\) |
\(x^2 + \dfrac{1}{6}x - \dfrac{1}{6} = 0\) ; \(6x^2 + x - 1 = 0\) |
\(-\dfrac{2}{5}\) |
\(-\dfrac{1}{5}\) |
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\(\sqrt{3}-2\) |
\(\sqrt{3}+2\) |
\(2\sqrt{3}\) |
\(-1\) |
\(x^{2}-2\sqrt{3x}-1=0\) |
\(1+\sqrt{2}\) |
\(1-\sqrt{2}\) |
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\(4\) |
\(0\) |
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\(\dfrac{1}{3}\) |
\(-\dfrac{1}{3}\) |
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