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)\"\" \"About 
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If the point (x,3) is equidistant from (3,-2) and (7,4), find the value of x.
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\n" ); document.write( "There's more than 1 way to do this.
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\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.
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\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
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\n" ); document.write( "(x-3)^2 + (3+2)^2 = (x-7)^2 + (3-4)^2
\n" ); document.write( "\"x%5E2+-+6x+%2B+9+%2B+25+=+x%5E2+-+14x+%2B+49+%2B+1\"
\n" ); document.write( "Solve for x
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