The proof is done using the standard form of a quadratic equation and solving the standard form by completing the square.
Start with the the standard form of a quadratic equation:
ax^{2} + bx + c = 0

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https://mathphysicsexpert.com/wp-content/uploads/2022/04/mpe.png00adminhttps://mathphysicsexpert.com/wp-content/uploads/2022/04/mpe.pngadmin2022-04-14 06:24:562022-04-14 06:24:56Proof of the quadratic formula