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 x format, where "d" is "b/2a"^{2} + 2dx + d^{2}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: | |

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