SOLUTION: a) Write a quadratic equation that can be solved by factoring and does not require the use of the quadratic formula. b) Write a quadratic equation that c

Algebra ->  Equations -> SOLUTION: a) Write a quadratic equation that can be solved by factoring and does not require the use of the quadratic formula. b) Write a quadratic equation that c      Log On


   

Question 1182790: a) Write a quadratic equation that can be solved by factoring and does not require the use of the quadratic formula.




b) Write a quadratic equation that cannot be solved by factoring and then solve it using the quadratic formula.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39615) About Me  (Show Source):
You can put this solution on YOUR website!
Be more specific for better help. Maybe you can find examples in your textbook and try them.


Try this:

Just expressions; not equations -----

%28x-2%29%28x%2B7%29
x%5E2-2x%2B7x-14
x%5E2%2B5x-14------you know this is factorable.

Is this one factorable?
x%5E2%2B6x-14

Answer by ikleyn(52771) About Me  (Show Source):
You can put this solution on YOUR website!
.

Look into the lesson

    - Solving quadratic equations without quadratic formula

in this site,  and find there tens of examples of quadratic equations,  that can be solved by factoring
without using the quadratic formula.


It is important to be familiar with some amount of basic cases to successfully and quickly
factor  MENTALLY  quadratic equations with relatively small integer coefficients.

It will help you as much as the multiplication table helps you calculate mentally without using a calculator . . .


From the opposite hand side,  to learn the quadratic formula and to see numerous examples of its application,
look into the lessons
    - Introduction into Quadratic Equations
    - PROOF of quadratic formula by completing the square
in this site,  and learn the subject from there.


Happy learning  ( ! )