The Quadratic Formula definitions Flashcards
The Quadratic Formula definitions
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Quadratic Formula A universal equation for finding solutions to any quadratic equation, involving coefficients a, b, and c from the standard form. Standard Form The arrangement of a quadratic equation as ax² + bx + c = 0, with all terms on one side and powers in descending order. Coefficient A numerical factor multiplying a variable in an equation, such as a, b, or c in a quadratic equation. Discriminant The expression b² - 4ac found under the square root in the quadratic formula, used to determine the nature of solutions. Radical The symbol and its contents under a square root, especially in the quadratic formula, affecting the type of solutions. Real Solution A value of x that satisfies a quadratic equation and results from a non-negative discriminant. Imaginary Solution A solution to a quadratic equation that arises when the discriminant is negative, involving the square root of a negative number. Algebra The process of manipulating symbols and numbers to simplify and solve equations, especially after substituting values. Square Root A mathematical operation that finds a number which, when multiplied by itself, gives the value under the radical. Descending Order The arrangement of terms in an equation from highest to lowest power of the variable. Solution A value or set of values for the variable that makes the quadratic equation true. Fraction A numerical expression representing division, often appearing in quadratic formula solutions. Radical Expression An expression containing a square root, often present in the solutions of quadratic equations. Whole Number A non-negative integer that may appear as a solution to a quadratic equation when the discriminant is a perfect square. Sign The positive or negative attribute of a number, crucial when identifying coefficients and calculating the discriminant.
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