SOLUTION: The problem i am having is solving problems using the quadratic formula the the question is 3x squared equals negative 10x minus 4 thank you for any help you can provide.

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Question 199172: The problem i am having is solving problems using the quadratic formula the the question is 3x squared equals negative 10x minus 4 thank you for any help you can provide.
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
The problem i am having is solving problems using the quadratic formula the the question is 3x squared equals negative 10x minus 4 thank you for any help you can provide.


3x%5E2=-10x-4

We want to get 0 on the right, so we add 10x%2B4 
to both sides:


3x%5E2%2B10x%2B4=0

The quadratic formula is stated this war:

If we have the equation:

ax%5E2%2Bbx%2Bc=0

then its solution is

x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+

In this equation, we have:

3x%5E2%2B10x%2B4=0

so a=3, b=10, c=4

x+=+%28-%2810%29+%2B-+sqrt%28%2810%29%5E2-4%2A%283%29%2A%284%29+%29%29%2F%282%2A%283%29%29+

x+=+%28-10+%2B-+sqrt%28100-48+%29%29%2F6+

x+=+%28-10+%2B-+sqrt%2852%29%29%2F6+

x+=+%28-10+%2B-+sqrt%284%2A13%29%29%2F6+

x+=+%28-10+%2B-+sqrt%284%29sqrt%2813%29%29%2F6+

x+=+%28-10+%2B-+2sqrt%2813%29%29%2F6+

Factor 2 out of the top:

x+=+%282%28-5+%2B-+sqrt%2813%29%29%29%2F6+

Cancel the 2 into the 6, getting 3:

x+=+%28cross%282%29%28-5+%2B-+sqrt%2813%29%29%29%2F%28cross%286%29%29%5B3%5D+

So the final answer is:

x+=+%28-5+%2B-+sqrt%2813%29%29%2F3+

which is really two separate solutions:

x+=+%28-5+%2B+sqrt%2813%29%29%2F3+ and 
x+=+%28-5+-+sqrt%2813%29%29%2F3+

Edwin