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The Quadratic Formula definitions
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Quadratic Equation
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Quadratic Equation
An expression in standard form with a squared variable, linear term, and constant, used to find specific values for the variable.
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Termini in questo insieme (15)
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Quadratic Equation
An expression in standard form with a squared variable, linear term, and constant, used to find specific values for the variable.
Standard Form
A format for expressing equations as ax² + bx + c = 0, where a, b, and c are coefficients.
Coefficient
A numerical value multiplying a variable in an equation, such as a, b, or c in a quadratic.
Quadratic Formula
A method for finding solutions to any quadratic equation by substituting coefficients into a specific formula.
Discriminant
The value under the radical in the quadratic formula, indicating the number and type of solutions.
Radical
A mathematical symbol representing the square root operation, used in the quadratic formula.
Perfect Square
A number whose square root is an integer, simplifying solution steps in quadratic equations.
Solution
A value for the variable that satisfies the equation, determined by the quadratic formula.
Real Solution
A solution resulting in a tangible number, indicated by a positive or zero discriminant.
Imaginary Solution
A solution involving the square root of a negative number, occurring when the discriminant is negative.
Root
A value where the quadratic equation equals zero, found using the quadratic formula.
Plus or Minus Sign
A symbol in the quadratic formula that allows for two possible values, leading to multiple solutions.
Completing the Square
A technique for solving quadratics by transforming the equation into a perfect square trinomial.
Trinomial
An algebraic expression with three terms, commonly seen in quadratic equations.
Square Root
A value that, when multiplied by itself, gives the original number, used in finding solutions.