document.write( "Question 1121756: If x = (ab)/(a+b), hence prove sqrt[(a-x)/(b-x)] = a/b. \n" ); document.write( "
Algebra.Com's Answer #737751 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
see my worksheet below.\r
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\n" ); document.write( "\n" ); document.write( "step 1 shows the given relationship.\r
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\n" ); document.write( "\n" ); document.write( "step 2 replaces x in (a-x) with ab/(a+b) and solves to get (a-x) = a^2/(a+b).\r
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\n" ); document.write( "\n" ); document.write( "step 2 replaces x in (b-x) with ab/(a+b) and solve to get (b-x) = b^2/(a+b).\r
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\n" ); document.write( "\n" ); document.write( "step 3 replaces (a-x) with a^2/(a+b) and replaces (b-x) with b^2/(a+b) and solves for (a-x)/(b-x) in terms of a and b equivalents to get (a-x)/(b-x) = a^2/b^2.\r
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\n" ); document.write( "\n" ); document.write( "step 4 takes the square root of (a^2/b^2) to get a/b.\r
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\n" ); document.write( "\n" ); document.write( "step 5 confirms that this proves that sqrt((a-x)/(b-x)) is equal to a/b.\r
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