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Quadratic equation

 

            
            
             We have learned three different methods of solving quadratic .
            
             situation and on the equation we have to solve.
             The first means that can be used to solve a quadratic equation is .
             factoring. Factoring only works in certain cases, but is by far the easiest .
             and fastest to use. When factoring it is much easier if the term with the .
             power of two has a coefficient of one. This is due to the fact that when .
             factoring it is easier to multiply by one than a higher number. Secondly, it .
             is necessary that the last term without a variable has two multipliers that .
             will add to give us our second term in the equation.
             The second way you can solve a quadratic equation is by using the .
             completion of the square method. It is simplest to use when the term with .
             a variable with the power of one is divisible by two. This is only due to .
             the fact that when dividing this term by two, it is easier to work without .
             fractions, and if it is divisible by two it accomplishes that. If you have to .
             work with fractions, I found this method to be the most successful. While .
             solving when there are fractions involved, it is easy to compare .
             denominators near the final step to see if they are the same. This is an easy .
             way to check and see if you did the problem correctly, because if the .
             denominators are different you messed up somewhere earlier in the .
             problem.
             The final method we learned to solve a quadratic equation is using .
             the quadratic formula. This method seems to have fewer steps than .
             completion of the square. Before plugging numbers into the formula, it is .
             necessary to make sure that all of the terms have a denominator of one. .
             Then all that you need to do is assign and plug in the numbers that .
             represent the letters a, b, and c.
             After working with all three methods of solving the quadratic .
             equation, I find it easiest to factor when possible. After this it all depends .
             on the situation and the directions. .
            


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