# What is the value of b^{2 }- 4ac for the following equation: 2x^{2} - 2x - 1 = 0?

Quadratic equations have a degree equal to 2 and are used for many calculations in various disciplines of engineering and science.

## Answer: The value of b^{2 }- 4ac for the given equation 2x^{2} - 2x - 1 = 0 is 12.

Let's understand the solution.

**Explanation:**

Given equation: 2x^{2} - 2x - 1 = 0

Here, we have a = 2, b = -2 and c = -1

Now, we apply the formula to find the descriminant i.e., D = b^{2 }- 4ac

b^{2 }- 4ac = (-2)^{2} - 4(2)(-1) = 4 + 8 = 12

### Hence, the value of b^{2 }- 4ac for the given equation 2x^{2} - 2x - 1 = 0 is 12.

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