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Discriminant 2x²-4x 1=0

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Final answer:

The discriminant of the quadratic equation 2x² - 4x + 1 = 0 is calculated using the formula b² - 4ac, which yields 8, indicating two real and distinct roots.

Step-by-step explanation:

The question is asking for the discriminant of a quadratic equation.

The discriminant is an expression that can determine the nature of the roots of a quadratic equation (real and distinct, real and equal, or complex), and is given by the formula b² - 4ac.

To find the discriminant of the equation 2x² - 4x + 1 = 0, we identify a = 2, b = -4, and c = 1.

Plugging these into the discriminant formula gives us (-4)² - 4(2)(1) which simplifies to 16 - 8, resulting in a discriminant of 8.

Since the discriminant is positive, this indicates that the quadratic equation has two real and distinct roots.

User Mohsin Awan
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