document.write( "Question 1086099: if (x 4) is equidistant from (5 -2) and (3 4) find x \n" ); document.write( "
Algebra.Com's Answer #700255 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "The square of the distance from (x,4) to (5,-2) is \r\n" );
document.write( "\r\n" );
document.write( "\"%285-x%29%5E2+%2B+%28%28-2%29-4%29%5E2\" = \"%285-x%29%5E2+%2B+%28-6%29%5E2\" = \"%285-x%29%5E2+%2B+36\".\r\n" );
document.write( "\r\n" );
document.write( "The square of the distance from (x,4) to (3,4) is \r\n" );
document.write( "\r\n" );
document.write( "\"%283-x%29%5E2+%2B+%284-4%29%5E2\" = \"%283-x%29%5E2+%2B+0%5E2\" = \"%283-x%29%5E2+\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So, you need to solve this equation\r\n" );
document.write( "\r\n" );
document.write( "\"%285-x%29%5E2+%2B+36\" = \"%283-x%29%5E2+\",   or\r\n" );
document.write( "\r\n" );
document.write( "\"25+-+10x+%2B+x%5E2+%2B+36\" = \"9+-+6x+%2B+x%5E2\",   or\r\n" );
document.write( "\r\n" );
document.write( "61 - 10x = 9 - 6x,   or\r\n" );
document.write( "\r\n" );
document.write( "61 - 9 = 10x - 6x,\r\n" );
document.write( "\r\n" );
document.write( "4x = 52  ====>  x = \"52%2F4\" = 13.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Answer. x= 13.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );