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Реши задачата с материал от 9 клас

To solve the given problem, we need to determine the product of the roots of the quadratic equation \(x^2 - 3x + 1 = 0\).

For a quadratic equation of the form \(ax^2 + bx + c = 0\), the product of the roots can be found using the formula \(\frac{c}{a}\).

Here, \(a = 1\), \(b = -3\), and \(c = 1\). Therefore, the product of the roots is:

\[
\text{Product of the roots} = \frac{c}{a} = \frac{1}{1} = 1
\]

Hence, the correct answer is \(Б) 1\).

Do you want further details or have any questions? 

Here are 5 questions you might want to ask:
1. How do you derive the quadratic formula?
2. Can you show how to find the roots of this quadratic equation using the quadratic formula?
3. What are the sum and product of the roots in general for a quadratic equation?
4. How do you factorize a quadratic equation?
5. What are some applications of quadratic equations in real life?

Tip: Understanding the relationship between the coefficients and the roots of a quadratic equation can make solving these problems much faster and easier.

Learn how to solve the quadratic equation x^2 - 3x + 1 using the product of roots formula. This problem demonstrates the application of quadratic equations and is suitable for 9th-grade students.

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