Monday, 17 June 2013

A Quadratic Equation looks like this:
                                      Quadratic Equation
A Qaudratic Formula lookd like as
                                        Quadratic Formula
The Quadratic Formula looks like a magic,but we can can follow these steps to see how it comes

1. Complete the Square

It is hard to handle an equation where "x" appears twice, but there is a way to rearrange it so that "x" only appears once. It is called "Completing the Square" (please read that first!).
So, let's go:
Start with
Divide the equation by a
Put c/a on other side
Add (b/2a)2 to both sides

The left hand side is now in the x2 + 2dx + d2 format, where "d" is "b/2a"
So we can re-write it this way:
"Complete the Square"

2. Now Solve For "x"

Now we just need to rearrange the equation to leave "x" on the left
Start with
Square root
Move b/2a to right

That is actually solved! But let's simplify it a bit:
Multiply right by 2a/2a

Which is the Quadratic formula we all know and love:
Quadratic Formula

Derivation of Quadratic Formula


Category: ,


Post a Comment