document.write( "Question 156381: if the graph of the function f(x)=4x^2-20x-4 intersects the graph of the function g(x)=1+4x-x^2 at the point (m,k), show that the other point of intersection occurs where x= -1/m. \n" ); document.write( "
Algebra.Com's Answer #115206 by Edwin McCravy(20055)\"\" \"About 
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if the graph of the function \"f%28x%29=4x%5E2-20x-4\" intersects the graph of the
\n" ); document.write( "function \"g%28x%29=1%2B4x-x%5E2\" at the point (m,k), show that the other point of
\n" ); document.write( "intersection occurs where \"x=+-1%2Fm\".\r
\n" ); document.write( "\n" ); document.write( "\"f%28x%29=4x%5E2-20x-4\"
\n" ); document.write( "\"g%28x%29=1%2B4x-x%5E2\"
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document.write( "To find their points of intersection, set \r\n" );
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document.write( "\"f%28x%29=g%28x%29\"\r\n" );
document.write( "\"4x%5E2-20x-4=1%2B4x-x%5E2\"\r\n" );
document.write( "\"5x%5E2-24x-5=0\"\r\n" );
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document.write( "\"%28x-5%29%285x%2B1%29=0\"\r\n" );
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document.write( "\"x-5=0\"   \"5x%2B1=0\"\r\n" );
document.write( "  \"x=5\"     \"5x=-1\"\r\n" );
document.write( "           \"x=-1%2F5\"\r\n" );
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document.write( "So if \"m=5\", then \"-1%2Fm+=+-1%2F5\" and that is the \r\n" );
document.write( "other value of x where the graphs intersect.\r\n" );
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document.write( "Edwin

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