How do you add or multiply a quadratic formula

I'd like to know how you would add two quadratic formulas using only the letters in the formula itself. For example: (negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a) If you take this equation and add it to an identical one without plugging in numbers, what would you get?

The common denominator is already 2a, so just add them.

Add the -bs, and then add the sqrt(b^2 - 4ac)

2x = (-2b +/- 2(sqrt(b^2 - 4ac))) / 2a

I hope this information was very helpful.