document.write( "Question 1027846: Let f(x) = 3x^2 - 4x. Find the constant k such that f(x) = f(k - x) for all real numbers x. \n" ); document.write( "

Algebra.Com's Answer #643043 by ikleyn(52798) $\"\"$ $\"About$

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\n" ); document.write( "Let f(x) = 3x^2 - 4x. Find the constant k such that f(x) = f(k - x) for all real numbers x.
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document.write( "The condition requires that this identity would hold for all real numbers x:\r\n" );
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document.write( " = .\r\n" );
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document.write( "Simplify it step by step\r\n" );
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document.write( " = ,\r\n" );
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document.write( " = .\r\n" );
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document.write( "It would be identically zero if\r\n" );
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document.write( " =     (1)   and  \r\n" );
document.write( " =      (2)\r\n" );
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document.write( "are hold simultaneously.\r\n" );
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document.write( "Fortunately,  k =   satisfies both  (1)  and  (2).\r\n" );
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document.write( "Answer.  k = .\r\n" );
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