SOLUTION: Can some one be so kind as to help me using the Quadriatic formula and solve the following equation? 17x+ 6 = 28x^2 Thank You for helping me.

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Question 105946This question is from textbook Intermediate Algebra
: Can some one be so kind as to help me using the Quadriatic formula and solve the following equation? 17x+ 6 = 28x^2
Thank You for helping me. This question is from textbook Intermediate Algebra

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
17x+ 6 = 28x^2
28x^2-17x-6=0 add -17-6 to each side.
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 28x%5E2%2B-17x%2B-6+=+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=%28-17%29%5E2-4%2A28%2A-6=961.

Discriminant d=961 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28--17%2B-sqrt%28+961+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%28-17%29%2Bsqrt%28+961+%29%29%2F2%5C28+=+0.857142857142857
x%5B2%5D+=+%28-%28-17%29-sqrt%28+961+%29%29%2F2%5C28+=+-0.25

Quadratic expression 28x%5E2%2B-17x%2B-6 can be factored:
28x%5E2%2B-17x%2B-6+=+%28x-0.857142857142857%29%2A%28x--0.25%29
Again, the answer is: 0.857142857142857, -0.25. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+28%2Ax%5E2%2B-17%2Ax%2B-6+%29