Download Quadratic equations can be solved by graphing, using

Quadratic equations can be solved by graphing, using the quadratic formula,
completing the square, and factoring.
What are the pros and cons of each of these methods?
Graphing:
Pros: You can recognize the solutions if the function is graphed.
Cons: This method is not exact and is not useful if the graph has no real
solutions
Quadratic formula:
Pros: This method works on all the problems, we have to do the same
operations for every quadratic equation.
Cons: Sometimes this method is longer than another one
Completing the square
Pros: This method is useful if coefficients are integers and the nombers
involved are easy.
Cons: If the coefficients are rational numbers this method can be longer than
the other ones.
Factoring:
Pros: This method is useful if the coefficients are integers
Cons: If the coefficients are rational numbers this method can be longer than
the other ones.
When might each method be most appropriate?
If the quadratic equation has integer coefficients or the expression is similar to
a square we can try to solve it factoring or completing the square.
If the function is easy to graph or the graph is done we find the solutions using
the graphing method.
If we can´t find the solutions easily with the rest of the methods we select the
quadratic formula method
Which method do you prefer? Why?
I prefer the quadratic formula method, it always work and the discriminant
d = b2-4ac gives the number of real solutions