Mathematical statement of equality between algebraic expressions. An expression is algebraic if it involves a finite combination of numbers and variables and algebraic operations (addition, subtraction, multiplication, division, raising to a power, and extracting a root). Two important types of such equations are linear equations, in the form math.y = math.amath.x + math.b, and quadratic equations, in the form math.y = math.amath.x2 + math.bmath.x + math.c. A solution is a numerical value that makes the equation a true statement when substituted for a variable. In some cases it may be found using a formula; in others the equation may be rewritten in simpler form. Algebraic equations are particularly useful for modeling real-life phenomena.
Learn more about algebraic equation with a free trial on Britannica.com.
Note that an algebraic equation over the rationals can always be converted to an equivalent one in which the coefficients are integers (where equivalence refers to the fact that the two equations will have the same solutions). For example, multiplying through by 42 = 2·3·7, the algebraic equation above becomes the algebraic equation
Although the equation
1/T and -2 are all elements of Q((T)).
CRITERIA TOO NEW FOR SCORES TO ADD UP | ALGEBRAIC EQUATION: FEWER THAN HALF OF STATE'S EIGHTH-GRADERS SEEM TO UNDERSTAND THE MATH
Nov 24, 1999; -- Algebra, that mysterious discipline where letters and numbers meet, proved to be the biggest challenge statewide on this...
The Monsoon Campaign ; Being held to ransom by the old numbers, the Congress is wooing new allies to improve the UPA's algebraic equation.
Aug 02, 2010; It is a ritual from the textbook of coalition politics. On the eve of every Parliament session, Congress strategists get together...