That's not an equation. Maybe the expression can be factored to make it look better,
but that process won't change anything, and won't answer any question, because the
expression isn't an equation and doesn't ask any question.
By knowing how to use the quadratic equation formula.
using the quadratic formula or the graphics calculator. Yes, you can do it another way, by using a new method, called Diagonal Sum Method, that can quickly and directly give the 2 roots, without having to factor the equation. This method is fast, convenient and is applicable to any quadratic equation in standard form ax^2 +bx + c = 0, whenever it can be factored. It requires fewer permutations than the factoring method does, especially when the constants a, b, and c are large numbers. If this method fails to get answer, then consequently, the quadratic formula must be used to solve the given equation. It is a trial-and-error method, same as the factoring method, that usually takes fewer than 3 trials to solve any quadratic equation. See book titled:" New methods for solving quadratic equations and inequalities" (Trafford Publishing 2009)
Start with a quadratic equation in the form � � 2 � � � = 0 ax 2 +bx+c=0, where � a, � b, and � c are constants, and � a is not equal to zero ( � ≠ 0 a =0).
1. Factoring out a common monomial 2. Factoring out the differnece of two perfect square numbers 3. Factoring out a common binomial
Solution can be found by using three methods: 1. Cross Multiplication Method 2. Substitution Method 3. Elimination Method Other Method can also be there but I don't know You can further get info about these method by searching these on Google Search.
It means you are required to "solve" a quadratic equation by factorising the quadratic equation into two binomial expressions. Solving means to find the value(s) of the variable for which the expression equals zero.
Here are two ways to know if a given quadratic equations can be factored (can be solved by factoring). 1. Calculate the Discriminant D = b^2 - 4ac. When D is a perfect square (its square root is a whole number), then the given equation can be factored. 2. Solve the equation by using the new Diagonal Sum method (Amazon e-book 2010). This method directly finds the 2 real roots without having to factor the equation. Solving usually requires fewer than 3 trials. If this method fails to get the answer, then we can conclude that the equation can not be factored, and consequently the quadratic formula must be used.
In the special case when a =1, the factoring method results in finding 2 NUMBERS knowing their sum and their product. The process is simple. However, when the constants a, b, c are large numbers, and contain themselves many factors, then the factoring method becomes complicated and takes long time in the process. For examples, solving these equations by the factoring method will take lot of time because of the high number of permutations: (6x^2 - 11x - 35 = 0) ; (45x^2 + 74x - 55 = 0) ; (45x^2 - 152x - 36 = 0); (12x^2 + 5x - 72 = 0) There is a new method, called Diagonal Sum Method, that can quickly and directly give the 2 roots, WITHOUT HAVING TO FACTOR THE EQUATION. The innovative concept of the new method is finding 2 FRACTIONS knowing their sum (-b/a) and their product (c/a). It is faster, more convenient than the factoring method since it requires fewer permutations by using the rule of signs for real roots. It is applicable whenever the equation can be factored. So, I advise you to proceed solving any quadratic equation in 2 steps. First step, use the Diagonal Sum method to solve it. It usually takes fewer than 3 trials. If it fails, then the quadratic formula must be used in second step. See book title:" New method for solving quadratic equations and inequalities" (Trafford Publishing 2009)
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The graphical method is often approximate but can be applied to any function. If done on a computer, the region surrounding the solution can be enlarged to obtain more accurate estimates. A numerical method will give an exact result is an analytical solution is possible. If not, the solution will depend on the numerical method used and, sometimes, the starting "guesstimate".
Yes FOIL method can be used with quadratic expressions and equations
Substitution method: from first equation y = 5x - 8. In the second equation this gives 25x - 5(5x - 8) = 32 ie 25x - 25x + 40 = 32 ie 40 = 32 which is not possible, so the system has no solution. Multiplication method: first equation times 5 gives 25x - 5y = 40, but second equation gives 32 as the value of the identical expression. No solution.