The product of the roots of the equation 2x^2 - 3x + 1 = 0 is equal to?

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Question: The product of the roots of the equation 2x^2 - 3x + 1 = 0 is equal to?

Options:

Correct Answer: 1/2

Solution:

The product of the roots is given by c/a. Here, c = 1 and a = 2, so the product is 1/2.

The product of the roots of the equation 2x^2 - 3x + 1 = 0 is equal to?

The product of the roots of the equation 2x^2 - 3x + 1 = 0 is equal to?

Step 1: Identify the coefficients of the quadratic equation 2x^2 - 3x + 1 = 0.
Step 2: Recognize that in the equation ax^2 + bx + c = 0, 'a' is the coefficient of x^2, 'b' is the coefficient of x, and 'c' is the constant term.
Step 3: From the equation, we see that a = 2, b = -3, and c = 1.
Step 4: The formula for the product of the roots of a quadratic equation is given by c/a.
Step 5: Substitute the values of c and a into the formula: c = 1 and a = 2.
Step 6: Calculate the product of the roots: 1/2.

Quadratic Equations – Understanding the properties of quadratic equations, specifically the relationship between coefficients and roots.
Vieta's Formulas – Using Vieta's formulas to find the product of the roots of a quadratic equation.