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AlgebraQuadratic Equations

Nature of Roots

Use the discriminant to classify roots before solving.

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Discriminant D = b²−4ac
0
Nature of roots
Two equal real roots
Roots
-2, -2
Parabola y = ax² + bx + cDiscriminant D = b²−4ac: 0
graph cuts the x-axis at the zeroes
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y = ax² + bx + c

Quadratic formula: x = (−b ± √D) / 2a.

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