Solving Equations, Part I
[Show All Solutions]
Solve each of the following equations.
1.
Show Solution
2.
Show Solution
In this case the equation won’t
factor so we’ll need to resort to the quadratic formula. Recall that if we have a quadratic in
standard form,
the solution is,
So, the solution to this equation
is
Do not forget about the quadratic
formula! Many of the problems that
you’ll be asked to work in a Calculus class don’t require it to make the work
go a little easier, but you will run across it often enough that you’ll need to
make sure that you can use it when you need to.
In my class I make sure that the occasional problem requires this to
make sure you don’t get too locked into “nice” answers.
3.
Show Solution
Again, we’ll need to use the
quadratic formula for this one.
Complex numbers are a reality when
solving equations, although we won’t often see them in a Calculus class, if we
see them at all.