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The roots of the quadratic function \( y = 2x^2 - 3x + 1 \) are \( x = \frac{1}{2} \) and \( x = 1 \). Therefore, the correct answer is:

**c) \( x = 1 \), \( x = \frac{1}{2} \)**.

Would you like further details or clarifications? Here are 5 related questions to expand your understanding:

1. How do you derive the quadratic formula used to solve these types of equations?
2. Can all quadratic equations be solved using factoring?
3. What is the discriminant, and how does it help in determining the number of solutions?
4. How would the graph of \( y = 2x^2 - 3x + 1 \) look, and where would the roots lie?
5. Can a quadratic equation have complex roots?

**Tip:** The discriminant \( b^2 - 4ac \) in a quadratic equation helps identify if the roots are real, repeated, or complex!

Indica cuales son las raíces de la siguiente función cuadrática: y = 2x^2 - 3x + 1

Learn how to find the roots of the quadratic equation y = 2x^2 - 3x + 1. This detailed step-by-step guide covers core concepts such as the quadratic formula and factoring methods. Ideal for students in Grades 9-10.

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