In this video I solve the quadratic equation by completing the square to obtain the famous quadratic formula. I had done a similar video 13 years ago so I thought it was time to do an updated one. Completing the square involves working backwards from the quadratic equation to obtain a form that has a square, that is of the form (x + d)2. From here we can take the square root and rearrange to solve for x, which obtains 2 values because of the nature of the square root.
Notes - 3Speak - YouTube - Telegram - mes.fm/cubic-formula
Timestamps
- Recap on Quadratic Formula: 0:00
- Derivation by completing the square: 0:30
- Completing the square: 1:16
- Quadratic equation as a square: 2:46
- Obtaining a common denominator: 4:25
- Quadratic formula: 5:58
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