SOLUTION: 25w^2 - 25w = -3 I need help

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Question 360525: 25w^2 - 25w = -3 I need help
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
25w%5E2-25w=-3
25w%5E2-25w%2B3=0
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation aw%5E2%2Bbw%2Bc=0 (in our case 25w%5E2%2B-25w%2B3+=+0) has the following solutons:

w%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=%28-25%29%5E2-4%2A25%2A3=325.

Discriminant d=325 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28--25%2B-sqrt%28+325+%29%29%2F2%5Ca.

w%5B1%5D+=+%28-%28-25%29%2Bsqrt%28+325+%29%29%2F2%5C25+=+0.860555127546399
w%5B2%5D+=+%28-%28-25%29-sqrt%28+325+%29%29%2F2%5C25+=+0.139444872453601

Quadratic expression 25w%5E2%2B-25w%2B3 can be factored:
25w%5E2%2B-25w%2B3+=+25%28w-0.860555127546399%29%2A%28w-0.139444872453601%29
Again, the answer is: 0.860555127546399, 0.139444872453601. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+25%2Ax%5E2%2B-25%2Ax%2B3+%29