document.write( "Question 242050: Two positive numbers differ by 11, and their square roots differ by 1. Find the numbers \n" ); document.write( "
Algebra.Com's Answer #177204 by solver91311(24713)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "Let represent the larger of the two positive numbers. Let represent the smaller.\r
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\n" ); document.write( "\n" ); document.write( "We know their difference is 11, so:\r
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\n" ); document.write( "\n" ); document.write( "We know the difference of their square roots is 1, so:\r
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\n" ); document.write( "\n" ); document.write( "Add to both sides of the second equation:\r
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\n" ); document.write( "\n" ); document.write( "Square both sides\r
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\n" ); document.write( "\n" ); document.write( "Substitute this value for into the first equation:\r
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\n" ); document.write( "\n" ); document.write( "Simplify:\r
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\n" ); document.write( "\n" ); document.write( "And solve:\r
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\n" ); document.write( "\n" ); document.write( " is a positive number, so so far, so good. Substitute this value into the first equation:\r
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\n" ); document.write( "\n" ); document.write( "Check:\r
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