document.write( "Question 1028661: Let f(x) = x^2 - 2x. Find all real numbers x such that f(x) = f(f(x)). \n" ); document.write( "

Algebra.Com's Answer #643775 by robertb(5830) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "This is supposed to be equal to $\"f%28x%29+=+x%5E2+-+2x\"$ \r
\n" ); document.write( "\n" ); document.write( "==> $\"x%5E4+-+4x%5E3%2B2x%5E2%2B4x+=+x%5E2+-+2x\"$ \r
\n" ); document.write( "\n" ); document.write( "<==> $\"x%5E4+-+4x%5E3%2Bx%5E2%2B6x+=+0\"$ \r
\n" ); document.write( "\n" ); document.write( "<==> $\"x%28x%2B1%29%28x-2%29%28x-3%29+=+0\"$ (Verify!!)\r
\n" ); document.write( "\n" ); document.write( "==> The real numbers x such that f(x) = f(f(x)) are 0, -1, 2, and 3. \n" ); document.write( "

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