SOLUTION: OK Here's the question, I went over it but can not see it through yet. Can you help step by step? "Use the quadratic formula to solve the equation:24x^2-14x=6. Round your answer t

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: OK Here's the question, I went over it but can not see it through yet. Can you help step by step? "Use the quadratic formula to solve the equation:24x^2-14x=6. Round your answer t      Log On


   

Question 40306: OK Here's the question, I went over it but can not see it through yet. Can you help step by step?
"Use the quadratic formula to solve the equation:24x^2-14x=6. Round your answer to the nearest hundreth. you must show your work with the quadratic formula."
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
24x^2-14x=6
24x^2-14x-6=0
2(12x^2-7x-3)=0
12x^2-7x-3=0
a=12, b=-7, c=-3
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 12x%5E2%2B-7x%2B-3+=+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=%28-7%29%5E2-4%2A12%2A-3=193.

Discriminant d=193 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28--7%2B-sqrt%28+193+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%28-7%29%2Bsqrt%28+193+%29%29%2F2%5C12+=+0.870518499560408
x%5B2%5D+=+%28-%28-7%29-sqrt%28+193+%29%29%2F2%5C12+=+-0.287185166227075

Quadratic expression 12x%5E2%2B-7x%2B-3 can be factored:
12x%5E2%2B-7x%2B-3+=+12%28x-0.870518499560408%29%2A%28x--0.287185166227075%29
Again, the answer is: 0.870518499560408, -0.287185166227075. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+12%2Ax%5E2%2B-7%2Ax%2B-3+%29

Hope this helps.
Cheers,
stan H.