document.write( "Question 252552: For all real numbers \"x\", the function \"f%28x%29\" satisfies \"2f%28x%29+%2B+f%281-x%29+=+x%5E2\"
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Algebra.Com's Answer #184532 by Edwin McCravy(20060)\"\" \"About 
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For all real numbers \"x\", the function \"f%28x%29\" satisfies \"2f%28x%29+%2B+f%281-x%29+=+x%5E2\"
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document.write( "\"2f%28x%29%2Bf%281-x%29=x%5E2\"\r\n" );
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document.write( "Substitute \"x=5\"\r\n" );
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document.write( "\"2f%285%29%2Bf%281-5%29=5%5E2\"\r\n" );
document.write( "\"2f%285%29%2Bf%28-4%29=25\"\r\n" );
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document.write( "Substitute \"x=-4\"\r\n" );
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document.write( "\"2f%28-4%29%2Bf%281-%28-4%29%29=%28-4%29%5E2\"\r\n" );
document.write( "\"2f%28-4%29%2Bf%281%2B4%29=16\"\r\n" );
document.write( "\"2f%28-4%29%2Bf%285%29=16\"\r\n" );
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document.write( "So we have this system of equations:\r\n" );
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document.write( "\"syatem%282f%285%29%2Bf%28-4%29=25%2C2f%28-4%29%2Bf%285%29=16%29\"\r\n" );
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document.write( "Solve that and get:\r\n" );
document.write( "\"f%285%29=34%2F3\" and \"f%28-4%29=7%2F3\"\r\n" );
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document.write( "Edwin

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