Solve the quadratic equation using the Quadratic Formula: 3x^2 – 2x – 2 = 0

Solve by using the quadratic formula x^2+1=x

and factoring. What are the pros and cons of each of these methods? When might each method be most appropriate? Which method do you prefer? Why?

Solve by using the quadratic formula. 5x^2+5x=3
a. -5+-square root 85 over 10
b. -5+-square root 85 over 5
c. -5+-square root 40 over 5
d. -5+-square root 40 over 10

Step by Step instructions are what I need, Thanks!

Is there a way to avoid using the quadratic formula for quadratic equations with fractions as the solutions?
I doubt I’ll be able to remember such an abstract formula

1. A square of side length X +1 has an area of 6 square units. Find the units of X to the nearest hundreth
2. Is it possible to design a building so that the rectangular ground floor has a perimeter of 50 and an area of 160m ^2? Explain

I need to summarize the process for finding an algebraic model for data that is quadratic. I know the formula ax^2+bx+c=0
if you want ot help even more…
Time(s) Height(m)
0 …………… 0
1 .. …. 35
2 …. 60
3 …. 75
4 …. 80
5 …. 75
6 …. 60
7 …. 35
8 ….. 0
The table above gives the height of a [...]

So I have an equation:
c = x^2 + 4x + 13 + y^2 + 6y.
Let’s say c is a constant. How would I solve for y? I can’t figure it out. Maple tells me that y = -3 ± sqrt(-4 + c – x^2 -4x). How would I get this? I would assume it’s the [...]

I dont understand this at all please help.
use the quadratic formula to find zeroes of the following functions. Simplify your answer.
1. y= 1/3x^2-2x+9