If the quadratic is written in the form ax2 + bx + c (where a not 0)
then for it to be factorable, b2 - 4ac (the discriminant) must be a perfect square.
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keme keme lang yan kaya mo yan in English that is so easy you can do it loser
It comes from completing the square of a general quadratic. Many people believe Brahmagupta first solved this in 628 AD.
A quadratic equation in its general form of ax2+bx+c = 0 whereas 'a' is equal or greater than 1 is applicable when finding the unknown variable of x by using the quadratic equation formula.
The general form of a quadratic expression is given as ax2+bx+c where "a" cannot equal zero and "b" is the coefficient of the variable "x" and also the sum of the factors of "c" when "a" is unity. Example: x2+5x+6 = (x+2)(x+3) when factored
There are 5 existing methods in solving quadratic equations. For the first 4 methods (quadratic formula, factoring, graphing, completing the square) you can easily find them in algebra books. I would like to explain here the new one, the Diagonal Sum Method, recently presented in book titled:"New methods for solving quadratic equations and inequalities" (Trafford 2009). It directly gives the 2 roots in the form of 2 fractions, without having to factor the equation. The innovative concept of the method is finding 2 fractions knowing their Sum (-b/a) and their Product (c/a). It is very fast, convenient and is applicable whenever the given quadratic equation is factorable. In general, it is hard to tell in advance if a given quadratic equation can be factored. However, if this new method fails to find the answer, then we can conclude that the equation can not be factored, and consequently, the quadratic formula must be used. This new method can replace the trial-and-error factoring method since it is faster, more convenient, with fewer permutations and fewer trials.