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Class 10 · The Quadratic Formula
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y = ax² + bx + c
x = −b/2a √(b²−4ac) / 2a up to 3 real roots
The formula isn't magic — −b/2a is the axis of symmetry, and each root sits √(b²−4ac)/2a away on either side.
The discriminant b²−4ac decides how many roots exist.
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