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Vocabulary flashcards for key concepts and methods related to solving quadratic equations.
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Quadratic Formula
A formula used to find the solutions (roots) of a quadratic equation in the form ax² + bx + c = 0; x = (-b ± √(b²-4ac)) / (2a)
Discriminant
The value under the square root in the quadratic formula (b²-4ac) which determines the nature and number of solutions of the quadratic equation.
Completing the Square
A method of solving quadratic equations by manipulating the equation to create a perfect square trinomial on one side.
Factoring
A method of solving quadratic equations by expressing the quadratic expression as the product of two linear factors.
Discriminant Interpretation (Δ > 0)
If Δ > 0, the quadratic equation has two distinct real solutions.
Discriminant Interpretation (Δ = 0)
If Δ = 0, the quadratic equation has exactly one real solution (a repeated root).
Discriminant Interpretation (Δ < 0)
If Δ < 0, the quadratic equation has no real solutions, but two complex solutions.