SOLUTION: Please help me to compute the discriminant and determine the number and type of solution for the equation 8x^-9x+2=0. What is the discriminant

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Question 632734: Please help me to compute the discriminant and determine the number and type of solution for the equation 8x^-9x+2=0. What is the discriminant
Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 8x%5E2%2B-9x%2B2+=+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=%28-9%29%5E2-4%2A8%2A2=17.

Discriminant d=17 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28--9%2B-sqrt%28+17+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%28-9%29%2Bsqrt%28+17+%29%29%2F2%5C8+=+0.820194101601104
x%5B2%5D+=+%28-%28-9%29-sqrt%28+17+%29%29%2F2%5C8+=+0.304805898398896

Quadratic expression 8x%5E2%2B-9x%2B2 can be factored:
8x%5E2%2B-9x%2B2+=+8%28x-0.820194101601104%29%2A%28x-0.304805898398896%29
Again, the answer is: 0.820194101601104, 0.304805898398896. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+8%2Ax%5E2%2B-9%2Ax%2B2+%29