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Quadratic Formula by Completing the Square

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Published: 31 Jan 2025 › Updated: 31 Jan 2025Quadratic Formula by Completing the Square

Quadratic Formula by Completing the Square


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.

0 Quadratic Formula CTS.jpeg

Time stamps

  • 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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