SOLUTION: The question states: Determine the nature of the roots: 5x^2-50x+125=0.

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Question 83533: The question states: Determine the nature of the roots: 5x^2-50x+125=0.
Answer by Earlsdon(6103) About Me  (Show Source):
You can put this solution on YOUR website!
Did you find the value of the discriminant (b%5E2-4ac)?
b%5E2-4ac+=+%28-50%29%5E2-4%285%29%28125%29=2500-2500+=+0
The discriminant is zero: The solution has one real root, a double root.
This means that the curve (parabola) represented by the quadratic equation does not actually cross the x-axis, but just touches (abuts) the x-axis as you can see in the graph:
graph%28300%2C200%2C-5%2C20%2C-8%2C150%2C5x%5E2-50x%2B125%29