document.write( "Question 237373: I need to find the possible values of a, if the distance between the points is 5, and the coordinates are (1,1) and (4,a). \n" ); document.write( "
Algebra.Com's Answer #174564 by College Student(505)\"\" \"About 
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The distance formula between two points is:
\n" ); document.write( "\"d=sqrt%28%28x2-x1%29%5E2%2B%28y2-y1%29%5E2%29\"
\n" ); document.write( "Now all you need to do is substitute values and solve algebraically.
\n" ); document.write( "\"5=sqrt%28%284-1%29%5E2%2B%28a-1%29%5E2%29\"
\n" ); document.write( "If you raise both sides of the eqn by the power of 2, you will get:
\n" ); document.write( "\"25=%284-1%29%5E2%2B%28a-1%29%5E2\"
\n" ); document.write( "\"25=3%5E2%2B%28a-1%29%5E2\"
\n" ); document.write( "\"25=9%2B%28a-1%29%5E2\"
\n" ); document.write( "\"16=%28a-1%29%5E2\"
\n" ); document.write( "Now take the square root of both sides, you get:
\n" ); document.write( "\"sqrt%2816%29=%28a-1%29\"
\n" ); document.write( "\"4%2B1=a\"
\n" ); document.write( "\"a=5\" \n" ); document.write( "
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