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Quadratic Formula: Proof

How to prove the quadratic formula: formula and its proof.

Formula

For a quadratic equation
ax2 + bx + c = 0
(a ≠ 0),

x = [-b ± √b2 - 4ac] / 2a.

This is the quadratic formula.

Let's see the proof of the quadratic formula.

Proof
Proof (Detail)