The Vietnamese word "biệt số" refers to the mathematical term "discriminant." It is primarily used in the context of quadratic equations in algebra.
In mathematics, the "biệt số" (discriminant) is a value that can be calculated from the coefficients of a quadratic equation of the form ( ax^2 + bx + c = 0 ). The discriminant helps to determine the nature of the roots (solutions) of the equation.
You will often encounter "biệt số" when studying quadratic equations in algebra. Understanding this term is essential for solving equations and analyzing their solutions.
If you have a quadratic equation such as ( 2x^2 + 3x - 5 = 0 ), you can calculate the discriminant (biệt số) using the formula: [ D = b^2 - 4ac ] Here, ( a = 2 ), ( b = 3 ), and ( c = -5 ). Plugging in these values, you would find: [ D = 3^2 - 4(2)(-5) = 9 + 40 = 49 ] Since the discriminant (biệt số) is positive (49), this means the quadratic equation has two distinct real roots.
In more advanced mathematics, "biệt số" can also be used in the context of higher-degree polynomials, although its primary definition is associated with quadratic equations. The nature of the roots can be inferred based on whether the discriminant is positive, zero, or negative: - Positive: Two distinct real roots. - Zero: One repeated real root. - Negative: Two complex roots.
There are no direct variants of "biệt số," but it is often discussed in conjunction with related mathematical terms like "phương trình bậc hai" (quadratic equation) and "hệ số" (coefficients).
While "biệt số" primarily refers to the discriminant in mathematics, it can also be used in different contexts in Vietnamese, particularly in informal discussions, but its mathematical context is the most common and important.
In the context of mathematics, "biệt số" does not have direct synonyms, but you may encounter it alongside terms related to quadratic equations or in discussions about roots and solutions.