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The Quadratic Formula

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State

The quadratic formula solves every quadratic in standard form: x = (−b ± √(b² − 4ac)) / (2a).

Show

For 2x² + 5x − 3 = 0: x = (−5 ± √49)/4 = (−5 ± 7)/4, landing on 1/2 and −3.

Watch for

The formula is completing the square, run once for all time.

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