# What is the new Transforming Method to solve quadratic equations?

##### 2 Answers

Say for instance you have...

This can be transformed into:

Let's find out if the expression above translates back into

The answer is YES.

Now, it is important to note that

What you are doing here is **completing the square** . You can solve many quadratic problems by completing the square.

Here is one primary example of this method at work:

The famous quadratic formula can be derived by **completing the square** .

**The new Transforming Method to solve quadratic equations.**

**CASE 1**. Solving type

**Example 1.** Solve

Solution. Compose factor pairs of

**CASE 2** . Solving standard type:

The new method transforms this equation (1) to:

Solve the equation (2) like we did in CASE 1 to get the 2 real roots

**Example 2**. Solve

Transformed equation:

The advantages of the new Transforming Method are: simple, fast, systematic, no guessing, no factoring by grouping and no solving binomials.