document.write( "Question 695367: V has coordinates (11, -14) W (x, 10) what is the value of x if VW=25 \n" ); document.write( "
Algebra.Com's Answer #428454 by mananth(16946)\"\" \"About 
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The distance formula when coordinates are given
\n" ); document.write( "\"d=+sqrt%28%28x1-x2%29%5E2%2B%28y1-y2%29%5E2%29\"\r
\n" ); document.write( "\n" ); document.write( "where (x1,y1) and (x2,y2) are the co ordinates\r
\n" ); document.write( "\n" ); document.write( "we plug the values in the equation\r
\n" ); document.write( "\n" ); document.write( "\"d=+sqrt%28%2811-x%29%5E2%2B%28-14-10%29%5E2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"d=+sqrt%28%28121-22x%2Bx%5E2%29%2B%28-24%29%5E2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"25=+sqrt%28121-22x%2Bx%5E2%2B576%29\"\r
\n" ); document.write( "\n" ); document.write( "square both sides
\n" ); document.write( "\"625=121-22x%2Bx%5E2%2B576\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2-22x%2B72=0\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2-18x-4x-72=0\"
\n" ); document.write( "\"x%28x-18%29-4%28x-18%29=0\"\r
\n" ); document.write( "\n" ); document.write( "(x-18)(x-4)=0\r
\n" ); document.write( "\n" ); document.write( "x= 18 OR 4\r
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