I chose to do this because it will be important to be able to convert on the test.

The way we will be converting is by completing the square. It’s the same process as solving quadratic equations by completing the square.

The first step is to take out anything from 2x squared to make it just x squared, even if it may lead x to be a fraction (in this case it doesn’t).

As usual, to complete the square you divide x by 2 and square it, and don’t forget the reciprocal to make them cancel out.

Now, you have to take -9 out of the brackets to be able to write the brackets as a square. Don’t forget the coefficient of 2 in front of the brackets. -9 will turn to -18 when taken outside the brackets.

Combine the constants outside the brackets and rewrite trinomial as a perfect square.

When it comes to fractions, it’s the same thing. Just remember the fraction rules. Also, if x squared is a negative, you have to take out the negative, meaning your signs inside the brackets will be reversed.

Negative 11/2 squared turns positive when distributed to the negative sign.