Ok, so Ive started Maths with Statistics at my college along with Pure Maths. I havent had a lesson in several months so Ive forgotten a lot of things so if you could just help me with some question I have an explain how you got those questions that would be nice

1.I have to solve an equation of f(x)=0 with:
x²-3x+1 and 2x²-3x+1


2.I have to write the following equations in the form of: (x+or-a)²+or-b

x²+2x+5 and -x²-4x. Is x²+2x+5 written as (x+1)²+5?


3. A little more meaty. I need ot calculate the discriminant of the quadratic functions below and determine if the equation f(x)=0 has two, one or no real solutions. I dont understand what real solutions are. I have equations like x²+2x+1 and x²-3x+3 and asking if they are discriminant and then the whole bit about one, two or no real solutions? What do I do?