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Yes, however not all quadratic equations can easily be solved by factoring, sometimes you can factor and sometimes it is easier to use the quadratic formula. Example: x2 + 4x + 4 This can be easily factored to (x + 2)(x +2) Therefore the answer is -2 by setting x +2 = 0 and solving for x This can be done using the quadratic equation and you would get the same results, however, it was much faster to factor instead.
For any quadratic ax2 + bx + c = 0 we can find x by using the quadratic formulae: the quadratic formula is... [-b +- sqrt(b2 - 4(a)(c)) ] / 2a
simplify.
Well, if the given quadratic equation cannot be factored, nor completed by the square, try using the quadratic formula.
Trywww.mathsisfun.com/quadratic-equation-solver.html
If you are in the mathematics field then you might be using it everyday; otherwise... not so much
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One would use the quadratic formula for solving binomials that are otherwise hard to factor. You can find both real and imaginary solutions using this method, making it highly superior to factoring in this regard.
Yes, however not all quadratic equations can easily be solved by factoring, sometimes you can factor and sometimes it is easier to use the quadratic formula. Example: x2 + 4x + 4 This can be easily factored to (x + 2)(x +2) Therefore the answer is -2 by setting x +2 = 0 and solving for x This can be done using the quadratic equation and you would get the same results, however, it was much faster to factor instead.
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).
One pro of using the quadratic formula is that it will produce complex (imaginary) roots just as easily as it can produce real roots. (Factoring with imaginary numbers is a kind of a nightmare!) Another pro to the quadratic formula is that it eliminates the frustrating guess-and-check process. A con of the quadratic formula is that, when it comes to more simple problems, it is usually more time-consuming. A lot of textbook problems are quite easy to factor in your head--it is often not worth the effort of plugging numbers into a long formula. A second con of the quadratic formula is that it is quite long--you might write out the formula, accidentally forget a letter, and whole thing is useless. It's much easier to see that your work is correct when you're factoring.
For any quadratic ax2 + bx + c = 0 we can find x by using the quadratic formulae: the quadratic formula is... [-b +- sqrt(b2 - 4(a)(c)) ] / 2a
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)
simplify.
Well, if the given quadratic equation cannot be factored, nor completed by the square, try using the quadratic formula.
Trywww.mathsisfun.com/quadratic-equation-solver.html
The answer of the equation 2a -46a plus 252 = 0 using the quadratic formula is a = 5.25.