What is the new Transforming Method to solve quadratic equations?
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
The advantages of the new Transforming Method are: simple, fast, systematic, no guessing, no factoring by grouping and no solving binomials.