SOLUTION: Please help me solve this problem: 9x^2-7x=3

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Question 382982: Please help me solve this problem: 9x^2-7x=3
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
9x^2-7x=3
9x^2-7x-3=0
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 9x%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%2A9%2A-3=157.

Discriminant d=157 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28--7%2B-sqrt%28+157+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%28-7%29%2Bsqrt%28+157+%29%29%2F2%5C9+=+1.08499800478565
x%5B2%5D+=+%28-%28-7%29-sqrt%28+157+%29%29%2F2%5C9+=+-0.30722022700787

Quadratic expression 9x%5E2%2B-7x%2B-3 can be factored:
9x%5E2%2B-7x%2B-3+=+9%28x-1.08499800478565%29%2A%28x--0.30722022700787%29
Again, the answer is: 1.08499800478565, -0.30722022700787. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+9%2Ax%5E2%2B-7%2Ax%2B-3+%29