document.write( "Question 1209412: Find all real numbers x such that (3x - 27)^3 + (27x - 3)^3 = (3x + 27x - 30)^3. \n" ); document.write( "

Algebra.Com's Answer #848768 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!

 \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Factor the left side as the sum of two cubes:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Divide both sides by -3, since the 2nd factor on the left\r\n" );
document.write( "is divisible by -3\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "x-1=0; 9x-1=0  ; x-9=0\r\n" );
document.write( "  x=1;   9x=1  ;   x=9\r\n" );
document.write( "          x=;\r\n" );
document.write( "\r\n" );
document.write( "So the three solutions are , , and .\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( "

\n" );