document.write( "Question 294568: Find two consecutive integers such that the sum of their reciprocals is 7/24 \n" ); document.write( "

Algebra.Com's Answer #212382 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Find two consecutive integers such that the sum of their reciprocals is 7/24
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\n" ); document.write( "Two consecutive integers: x, (x+1)
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\n" ); document.write( " $\"1%2Fx\"$ + $\"1%2F%28%28x%2B1%29%29\"$ = $\"7%2F24\"$
\n" ); document.write( "Multiply by 24x(x+1), results
\n" ); document.write( "24(x+1) + 24x = 7x(x+1)
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\n" ); document.write( "24x + 24 + 24x = 7x^2 + 7x
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\n" ); document.write( "48x + 24 = 7x^2 + 7x
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\n" ); document.write( "0 = 7x^2 + 7x - 48x - 24
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\n" ); document.write( "7x^2 - 41x - 24 = 0
\n" ); document.write( "Will not factor, so don't think there is an integer solution \n" ); document.write( "

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