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Transcript

Quadratic Formula by Completing the Square

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.

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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.

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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