document.write( "Question 1176758: If(x,4) is equidistant to (5,-2) and (3,4) find the x \n" ); document.write( "
Algebra.Com's Answer #804210 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "If(\"x\",\"4\") is equidistant to (\"5\",\"-2\") and (\"3\",\"4\") \r
\n" ); document.write( "\n" ); document.write( "means distance between (\"x\",\"4\") and (\"5\",\"-2\") is same as distance between (\"x\",\"4\") and (\"3\",\"4\") \r
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\n" ); document.write( "\n" ); document.write( "to find the \"x\", use distance formula\r
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\n" ); document.write( "\n" ); document.write( "distance between (\"x\",\"4\") and (\"5\",\"-2\") is:\r
\n" ); document.write( "\n" ); document.write( "\"d=sqrt%28%28x-5%29%5E2%2B%284-%28-2%29%29%5E2%29\"
\n" ); document.write( "\"d=sqrt%28%28x-5%29%5E2%2B%284%2B2%29%5E2%29\"
\n" ); document.write( "\"d=sqrt%28%28x-5%29%5E2%2B36%29\"......eq.1\r
\n" ); document.write( "\n" ); document.write( "distance between (\"x\",\"4\") and (\"3\",\"4\") is:\r
\n" ); document.write( "\n" ); document.write( "\"d=sqrt%28%28x-3%29%5E2%2B%284-4%29%5E2%29\"
\n" ); document.write( "\"d=sqrt%28%28x-3%29%5E2%2B%280%29%5E2%29\"
\n" ); document.write( "\"d=sqrt%28%28x-3%29%5E2%29\"......eq.2\r
\n" ); document.write( "\n" ); document.write( "from eq.1 and eq.2 we have\r
\n" ); document.write( "\n" ); document.write( "\"sqrt%28%28x-5%29%5E2%2B36%29=sqrt%28%28x-3%29%5E2%29\"....square both sides\r
\n" ); document.write( "\n" ); document.write( "\"%28x-5%29%5E2%2B36=%28x-3%29%5E2\".....expend\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2-10x%2B25%2B36=x%5E2-6x%2B9\"\r
\n" ); document.write( "\n" ); document.write( "\"cross%28x%5E2%29-10x%2B61=cross%28x%5E2%29-6x%2B9\"\r
\n" ); document.write( "\n" ); document.write( "\"-10x%2B61=-6x%2B9\"\r
\n" ); document.write( "\n" ); document.write( "\"-9%2B61=10x-6x\"\r
\n" ); document.write( "\n" ); document.write( "\"52=4x\"\r
\n" ); document.write( "\n" ); document.write( "\"x=52%2F4\"\r
\n" ); document.write( "\n" ); document.write( "\"x=13\"\r
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\n" ); document.write( "\n" ); document.write( "so, the point is (\"13\",\"4\") \r
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