Describe three different ways to solve a quadratic equation. describe the strengths and limitations of each method, and explain how you would decide which one to use to solve a particular problem.

Method one

The quadratic can be graphed. This is very useful to lead in the direction of a solution. Some graphing programs give you a very good hint at what your answer is going to be. Sometimes not. A graph is most useful when you are dealing with a problem like 

y = 3x + 2

y = x^2 - 5x + 6 where you want to know where the x and y values are the same for both equations. It may not give you an accurate answer, but it will tell you if the answers you got using other methods is correct.

It you need accurate answers and the the graph is not giving you good points then a graph is not that helpful.

Method Two

You could use the quadratic formula. It will give you an accurate answer but only if you don't make a mistake in the arithmetic. That's not a trivial consideration. If you are dealing with numbers like 3.444x^2 - 88.77x - 44.99 = 0 you have 2 major problems. One is not making a mistake and the other is knowing when to round. But in general, this is a fail safe method.

Method Three

You could try factoring. If it works, it's by far the quickest and in it's own way the most accurate. It is not always easy to see how numbers may factor. For instance, this quadratic can be factored, but is it worth finding out how?

y = 144x^2 + 560x - 221

hope this helps

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the infinity sign

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