What is the discriminant of the quadratic equation 2x^2 + 4x + 2 = 0?

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Question: What is the discriminant of the quadratic equation 2x^2 + 4x + 2 = 0?

Options:

Correct Answer: 0

Solution:

The discriminant is given by b^2 - 4ac. Here, a = 2, b = 4, c = 2. So, the discriminant = 4^2 - 4(2)(2) = 16 - 16 = 0.

What is the discriminant of the quadratic equation 2x^2 + 4x + 2 = 0?

What is the discriminant of the quadratic equation 2x^2 + 4x + 2 = 0?

Step 1: Identify the coefficients a, b, and c from the quadratic equation 2x^2 + 4x + 2 = 0. Here, a = 2, b = 4, and c = 2.
Step 2: Write down the formula for the discriminant, which is b^2 - 4ac.
Step 3: Substitute the values of a, b, and c into the formula. This means calculating 4^2 - 4(2)(2).
Step 4: Calculate 4^2, which is 16.
Step 5: Calculate 4(2)(2), which is also 16.
Step 6: Subtract the second result from the first: 16 - 16 = 0.
Step 7: Conclude that the discriminant of the quadratic equation is 0.

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