Hey there!

The formula for the discriminant is represented by b²-4ac.
We need to identify the values for a, b, and c.
This equation is in general form, which is ax² + bx + c = 0.
So, a = -2, b = -1, and c = -1.
Plug the values into the formula.
(-1)²-4(-2)(-1)
Square.
1-4(-2)(-1)
Multiply.
1-4(2)
1-8
Subtract.
-7
The discriminant is -7.
This means there are no real solutions to the equation, because the discriminant is negative.
Hope this helps!
The correct answer is manifest destiny.
Manifest destiny is the belief that it was America's god given right to expand from "sea to shining sea." In other words, it was America's destiny to expand their control across the entire North American continent from the Atlantic to the Pacific Ocean. This belief resulted in the US buying land from other countries, fighting in wars, and taking land from Native Americans in order to achieve this goal. This was present throughout American society during the early to middle of the 19th century.
The bourgeoisie, because they were like the middle class, and without them, the social classes would be the same as before.
John Locke is the philosopher of the Enlightenment that believed in this separation of Church and State.