document.write( "Question 1041526: If the point (x,3) is equidistant from (3,-2) and (7,4), find the value of x. \n" ); document.write( "
Algebra.Com's Answer #656477 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! If the point (x,3) is equidistant from (3,-2) and (7,4), find the value of x. \n" ); document.write( "-------------- \n" ); document.write( "There's more than 1 way to do this. \n" ); document.write( "--- \n" ); document.write( "Label the points: A(3,-2), B(7,4) \n" ); document.write( "Find the perpendicular bisector of AB. The point will be on the bisector. \n" ); document.write( "---- \n" ); document.write( "Using distance formula: \n" ); document.write( "d^2 = (x-3)^2 + (3+2)^2 distance^2 from A \n" ); document.write( "d^2 = (x-7)^2 + (3-4)^2 distance^2 from B \n" ); document.write( "--- \n" ); document.write( "(x-3)^2 + (3+2)^2 = (x-7)^2 + (3-4)^2 \n" ); document.write( " \n" ); document.write( "Solve for x \n" ); document.write( " \n" ); document.write( " |