SOLUTION: I am having a problem grasping the factoring of quadratic equations. I have an example 3x^2+18x+25=0 Now from what I understand I am suppose to find two numbers that add up to 25

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: I am having a problem grasping the factoring of quadratic equations. I have an example 3x^2+18x+25=0 Now from what I understand I am suppose to find two numbers that add up to 25      Log On


   

Question 362029: I am having a problem grasping the factoring of quadratic equations. I have an example 3x^2+18x+25=0 Now from what I understand I am suppose to find two numbers that add up to 25 that also make 18 or so I thought. I am confused is there anyways to simplify this for me. I understand once I figure out this how to plug in the numbers for the x=-b sqrt of b^-4ac over 2a to get my answers
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
That's not factorable using integers.
----------------
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 3x%5E2%2B18x%2B25+=+0) has the following solutons:

x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca

For these solutions to exist, the discriminant b%5E2-4ac should not be a negative number.

First, we need to compute the discriminant b%5E2-4ac: b%5E2-4ac=%2818%29%5E2-4%2A3%2A25=24.

Discriminant d=24 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28-18%2B-sqrt%28+24+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%2818%29%2Bsqrt%28+24+%29%29%2F2%5C3+=+-2.18350341907227
x%5B2%5D+=+%28-%2818%29-sqrt%28+24+%29%29%2F2%5C3+=+-3.81649658092773

Quadratic expression 3x%5E2%2B18x%2B25 can be factored:
3x%5E2%2B18x%2B25+=+%28x--2.18350341907227%29%2A%28x--3.81649658092773%29
Again, the answer is: -2.18350341907227, -3.81649658092773. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+3%2Ax%5E2%2B18%2Ax%2B25+%29