quadratic equation

n. An equation that employs the variable x having the general form ax² + bx + c = 0, where a, b, and c are constants and a does not equal zero; that is, the variable is squared but raised to no higher power.

quadrat′ic equa′tion

n. an equation containing a single variable of degree 2. Its general form is ax² + bx + c= 0, where x is the variable and a, b, and c are constants (a≠ 0). [1680–90]

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Noun

quadratic equation - an equation in which the highest power of an unknown quantity is a squarequadraticequation - a mathematical statement that two expressions are equal

Quadratic Equation

quadratic equation

[kwä′drad·ik i′kwā·zhən] (mathematics) Any second-degree polynomial equation.

Quadratic Equation

an equation of the form ax² + bx + c = 0, where a, b, and c are any number and are called the coefficients of the equation. A quadratic equation has two roots, which are found by the formulas

The expression D = b² − 4ac is called the discriminant of the quadratic equation. If D > 0, then the roots of the quadratic equation are real and unequal; if D < 0, then the roots areconjugate complex numbers; if D = 0, then the roots are real andequal. The Vièta formulas x₁ + x₂ = − b/a and x\\x₂ = c/a link the roots and coefficients of a quadratic equation. The left-hand side of a quadratic equation can be expressed in the form α (x − x₂) (x − x₂). The function y = ax² + bx + c is called a quadratic trinomial, and its graph is a parabola with the vertex at the point M (−b/2a; c − b²/4a) and axis of symmetry parallel to the. y-axis; the direction of the branches of the parabola coincides with the sign of a. The solution of the quadratic equation was already known in geometric form to ancient mathematicians.

quadratic equation

quadratic equation

quadrat′ic equa′tion

Quadratic Equation

quadratic equation

Quadratic Equation

quadratic equation

Synonyms for quadratic equation

noun an equation in which the highest power of an unknown quantity is a square

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