document.write( "Question 294183: Is it possible for two different quadratic functions to have the same roots? Explain! \n" ); document.write( "

Algebra.Com's Answer #212203 by Earlsdon(6294) $\"\"$ $\"About$

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Yes it is!
\n" ); document.write( "For example:
\n" ); document.write( " $\"highlight%28x%5E2%2Bx-12%29\"$ and
\n" ); document.write( " $\"highlight_green%28-x%5E2-x%2B12%29\"$ both have the same roots.
\n" ); document.write( " $\"x+=+3\"$ and $\"x+=+-4\"$
\n" ); document.write( "Look at the graph of these two quadratic equations:
\n" ); document.write( " $\"graph%28400%2C400%2C-5%2C5%2C-15%2C15%2Cx%5E2%2Bx-12%2C-%28x%5E2%2Bx-12%29%29\"$
\n" ); document.write( "For any quadratic equation that has \"real\" roots, its \"negative\" will have the same roots. \n" ); document.write( "

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