A Quadratic Equation looks like this:
A Qaudratic Formula lookd like as
The Quadratic Formula looks like a magic,but we can can follow these steps to see how it comes
A Qaudratic Formula lookd like as
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 |  |
| Simplify: |  |
Which is the Quadratic formula we all know and love: | |
| |
Derivation of Quadratic Formula
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