quadratic equation


Also found in: Thesaurus, Acronyms, Encyclopedia, Wikipedia.
Related to quadratic equation: quadratic formula

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]
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.quadratic equation - an equation in which the highest power of an unknown quantity is a square
equation - a mathematical statement that two expressions are equal
References in classic literature ?
Furthermore, it is admitted that never, never, in a million lifetimes, could Michael have demonstrated a proposition in Euclid or solved a quadratic equation. Yet he was capable of knowing beyond all peradventure of a doubt that three bones are more than two bones, and that ten dogs compose a more redoubtable host than do two dogs.
For five weeks I crammed, until simultaneous quadratic equations and chemical formulas fairly oozed from my ears.
Then he got out note-book and algebra and lost himself in quadratic equations, while the hours slipped by, and the stars dimmed, and the gray of dawn flooded against his window.
This paper describes how a simple application of de Moivre's theorem may be used to not only find the roots of a quadratic equation with real or generally complex coefficients but also to pinpoint their location in the Argand plane.
This formula provides a challenging exercise when teaching how to use an equation editor, however, I do not like using it to solve quadratic equations. There are many reasons, but primarily, when the discriminant [DELTA] = [b.sup.2] - 4ac is negative, students automatically encounter the square root of a negative number.
where [D.sub.1] is a constant and [n.sub.1] > 0 is one of two roots of the quadratic equation (3.6).
As can be seen, all the null hypotheses are rejected in all the cases for all the subject programs except for 'Quadratic Equation', 'Previous Date' and 'Stack' programs.
Therefore, selected specification parameter can be x in quadratic equation and coupling noise value be y of quadratic equation.
According to the discontinuous model [FI=92.2572.429(0.689-X); [R.sup.2] = 0.96], the greatest feed intake was observed for the 0.69 ratio, whereas by the intersection of the quadratic equation with the LRP, it was observed that the 0.70 dietary methionine + cysteine: lysine ratio had the greatest feed intake.
As (5) is a quadratic equation, with constant coefficients, it can be expressed as a function of the maximum values, with the purpose to be independent of the surrounding conditions that determine the corresponding, stationary state.
Models similar to this quadratic equation are widely used in the literature.