document.write( "Question 83533: The question states: Determine the nature of the roots: 5x^2-50x+125=0. \n" ); document.write( "

Algebra.Com's Answer #60060 by Earlsdon(6294) $\"\"$ $\"About$

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Did you find the value of the discriminant ( $\"b%5E2-4ac\"$ )?
\n" ); document.write( " $\"b%5E2-4ac+=+%28-50%29%5E2-4%285%29%28125%29\"$ = $\"2500-2500+=+0\"$
\n" ); document.write( "The discriminant is zero: The solution has one real root, a double root.
\n" ); document.write( "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:
\n" ); document.write( " $\"graph%28300%2C200%2C-5%2C20%2C-8%2C150%2C5x%5E2-50x%2B125%29\"$ \n" ); document.write( "

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