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

February 5th, 2011 @9:54 pm

Well, if the problem can be factored, factoring is the easiest. Since the other choices are completing squares and by quadratic formula, the method by quadratic formula is the most efficient way of solving quadratic equations, derived from real life situations.

You got to know that by heart if you are interested in taking engineering courses.

February 5th, 2011 @10:29 pm

a process called “completing the square” is what you want… but it is the basis for the quadratic.

what’s abstract about it? just practice a little more and you’ll be fine, it’s straight plug-n-chug.

anyway, for problems with fractions as solutions, you can factor those, but it might not always be easy to see how to factor.

for problems with square roots in the solution (which don’t simplify) you have to use the quadratic formula — sorry!

the nice thing about the quadratic formula is that it works for every quadratic equation in the history of the universe, ever.

if your quadratic equation is

ax^2 + bx + c = 0

then you have

x = – b + sqrt(b^2 – 4ac) / (2a)

x = – b – sqrt(b^2 – 4ac) / (2a)

as your two solutions for x.

try making up some problems (i.e., some values for a, b, and c) and practice a little… you’ll get it soon enough.

hope this helps