SOLUTION: 14xsquared=29x-12 having problems doing quadratic equation

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Question 912461: 14xsquared=29x-12
having problems doing quadratic equation
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
14x^2 - 29x + 12 = 0
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 14x%5E2%2B-29x%2B12+=+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=%28-29%29%5E2-4%2A14%2A12=169.

Discriminant d=169 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28--29%2B-sqrt%28+169+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%28-29%29%2Bsqrt%28+169+%29%29%2F2%5C14+=+1.5
x%5B2%5D+=+%28-%28-29%29-sqrt%28+169+%29%29%2F2%5C14+=+0.571428571428571

Quadratic expression 14x%5E2%2B-29x%2B12 can be factored:
14x%5E2%2B-29x%2B12+=+14%28x-1.5%29%2A%28x-0.571428571428571%29
Again, the answer is: 1.5, 0.571428571428571. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+14%2Ax%5E2%2B-29%2Ax%2B12+%29