We're going to show you how to use the
quadratic formula to solve a quadratic
equation like the following. First though
we need to have the quadratic equation
in standard form. In other words it needs
to be rearranged into the format shown
here. To do that we'll add 1 to both
sides transforming the quadratic
equation to the following shown. We now
can determine the coefficients or the
values needed for the quadratic formula.
The coefficient of the squared term is
our value of a which is 1 for this
particular problem, b the coefficient of
the linear term is 1 as well and our
constant term is 1 as well. Now use
the values a, b, c and carefully
substitute them exactly for the letters
in the quadratic formula. We're after the
opposite of b and since b is 1 we end up
with a negative b plus or minus b
squared minus 4 times a times c all over
2 times a. Next we will simplify the
quadratic equation. First step is to
simplify underneath the radical sign
squaring 1 results in 1 and
performing the multiplication 4 times 1
times 1 leaves us with a 1 minus 4. If we
simplify further underneath the radical
we now have the square root of negative
3. Our radicand
is a negative there is no real number
solution so we're done with solving this
equation. With the statement no real
number. Later you may stay
a number system in which solutions of
this equation can be found but for now
we simply state no real numbers solution
exists.
