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Задача Задача №2645390
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Аноним
19 января 2025 19:50 · публичный вопрос
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Аноним

x2-6,4x+2,5=0 x1+x2= x1•x2=

Ответ нейросети
19 января 2025 19:50

To solve the quadratic equation \(x^2 - 6.4x + 2.5 = 0\), we can use Vieta's formulas. According to Vieta's formulas, for a quadratic equation of the form \(ax^2 + bx + c = 0\):

  1. The sum of the roots \(x_1 + x_2 = -\frac{b}{a}\)
  2. The product of the roots \(x_1 \cdot x_2 = \frac{c}{a}\)

In this case, we have:

  • \(a = 1\)
  • \(b = -6.4\)
  • \(c = 2.5\)

Now, using Vieta's formulas:

  1. Sum of the roots: \[ x_1 + x_2 = -\frac{-6.4}{1} = 6.4 \]

  2. Product of the roots: \[ x_1 \cdot x_2 = \frac{2.5}{1} = 2.5 \]

So, the values are:

  • \(x_1 + x_2 = 6.4\)
  • \(x_1 \cdot x_2 = 2.5\)