SOLUTION: What is the actual quadratic formula, and how would you actually get the quation itself? All formulas have a reason to how it was made. Such as, a stated theorem. This is an any

Question 151721: What is the actual quadratic formula, and how would you actually get the quation itself? All formulas have a reason to how it was made. Such as, a stated theorem.
This is an any book question.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
What is the actual quadratic formula, and how would you actually get the equation itself? All formulas have a reason to how it was made. Such as, a stated theorem.
:
consider ax^2 = bx + c = 0
:
solve this by completing the square of the left side, we have:
= 0
;
adding to both sides and completing the square on the left side:
=
:
Now if we factor the left side, using the square root property
=
Finding the square root of both sides
= +/-
:
x = +/-
We end up with the famous quadratic formula, that we all love so well!
x =
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