What is the value of b2 - 4ac for the following equation: 2x2 - 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 b2 - 4ac for the given equation 2x2 - 2x - 1 = 0 is 12.
Let's understand the solution.
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