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put this solution on YOUR website!Completing the square is quite easy. Suppose we have a quadratic equation
. We assume that a is not equal zero, because in that case we couldn't speak of quadratic equation. Now we can write
and dividing by a we get
. As we want to get that formula in something like
now it's our deal to ensure that
. This we can do simply by writing
. So now we have what we wanted just by putting
. To be more concrete we can show an example of that method.
. First, we divide by 2 an we obtain
. Now we can write
and so
. From this equation we see that it has no real roots because the square cannot be a negative number.
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