SOLUTION: I checked all of your solvers for quadratic functions, but did not understand what one of my questions was asking...the question was: Solve the equation by completing the square

Question 6637: I checked all of your solvers for quadratic functions, but did not understand what one of my questions was asking...the question was:
Solve the equation by completing the square. Leave irrational roots in simplest
radical form. x^2+4x-12=0
On your solvers, i typed in my equation, and it worked, but i didn't know what my question was asking for, so the answers didn't do me any good. Could you please help me with my question? Thank you!!
Answer by Earlsdon(6103) (Show Source):
You can put this solution on YOUR website!
One of the methods of solving quadratic equations is known as "completing the square".
This method entails making a perfect square trinomial from the given quadratic equation or expression, then factoring the perfect square trinomial into its two identical factors.
This is best demonstrated by illustration:
Starting with your quadratic equation:

1) Move the constant to the right side of the equation, i.e. add 12 to both sides.

2) Add a new constant that is the square of one-half of the x-coefficient.
to both sides.

3) Factor the trinomial.
or

Now take the square root of both sides.

x + 2 = +/-4 Subtract 2 from both sides.
x = 4 - 2 = 2 or
x = -4 -2 = -6
In this case the roots are real.