You can 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.