How do i do this? i don't understand the question. i'll write it out since i can't upload a pic for some reason.

for each of the situations, state the method you would use to solve ax^2+bx+c=0. explain your choice
a. b^2-4ac> 0
b. b^2-4ac=0
c. b^2-4ac< 0

When b^2 -4ac >0 you get rational answers.  I suppose you could use factoring as well as the quadratic formula.
when b^2 -4ac =0  You get one answer.  Okay it is till technically "two" answers but you say BOTH values of x = whatever.
when b^2 -4ac <0 the answers are complex (imaginary) and have the value of "i" somewhere in them.  For example the answers might be 2 + 2i that kind of thing

Ineed with this same question!

It's like discovering the answer to a puzzle. the purpose in solving an equation is to find the value or values of the variable that makes it a true statement. any value of the variable that makes the equation true is called a solution to the equation.