What is the value of b² - 4ac for the following equation: 2x² - 2x - 1 = 0?

Solution:

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

Given equation: 2x² - 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 = b² - 4ac

b² - 4ac = (-2)² - 4(2)(-1) = 4 + 8 = 12

Hence, the value of b² - 4ac for the given equation 2x² - 2x - 1 = 0 is 12.

What is the value of b² - 4ac for the following equation: 2x² - 2x - 1 = 0?

Summary:

The value of b² - 4ac for the given equation 2x² - 2x - 1 = 0 is 12.