SOLUTION: tell the nature of the solution by using the discriminant and then solve to find the exact root Factor when Possible x^2+6X=0

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Question 1068616: tell the nature of the solution by using the discriminant and then solve to find the exact root
Factor when Possible
x^2+6X=0

Found 3 solutions by josgarithmetic, ikleyn, MathTherapy:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
You can look for the formula for discriminant yourself and compute it.

Here, factorization is easily possible.
x%28x%2B6%29=0

system%28x=0%2COR%2Cx=-6%29

Answer by ikleyn(52898) About Me  (Show Source):
You can put this solution on YOUR website!
.
See the lessons
    - Introduction into Quadratic Equations
    - PROOF of quadratic formula by completing the square
in this site.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this textbook under the topic "Quadratic equations".


If you are a REAL student wishing to learn the subject, then read these lessons and learn everything you need to learn.

Let me tell you that it is a shame to go to the forum with such questions.

It is the same as asking pedestrians in the street how many is 2x2.




Answer by MathTherapy(10557) About Me  (Show Source):
You can put this solution on YOUR website!

tell the nature of the solution by using the discriminant and then solve to find the exact root
Factor when Possible
x^2+6X=0
Discriminant: matrix%281%2C5%2C+b%5E2+-+4ac%2C+%22=%22%2C+6%5E2+-+4%281%29%280%29%2C+%22=%22%2C+36%29
With the discriminant being a PERFECT SQUARE, then
Now that you have the discriminant, you can continue to solve using the quadratic equation formula, but since the binomial can be factored,
it's easier to do so to get the exact roots.