document.write( "Question 349765: three divided by the difference of x and 7 minus 2 divided by x plus 7 equals 3 times the reciprocal of the difference of x squared and 49 what is x \n" ); document.write( "
Algebra.Com's Answer #250117 by ankor@dixie-net.com(22740)\"\" \"About 
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three divided by the difference of x and 7 minus 2 divided by x plus 7 equals
\n" ); document.write( " 3 times the reciprocal of the difference of x squared and 49
\n" ); document.write( " what is x
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\n" ); document.write( "Assume the problem is:
\n" ); document.write( "\"3%2F%28%28x-7%29%29\"-\"2%2F%28%28x%2B7%29%29\" = \"3%2A%281%2F%28x%5E2-49%29%29\"
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\n" ); document.write( "x^2-49 is the difference of squares and can be factored
\n" ); document.write( "\"3%2F%28%28x-7%29%29\"-\"2%2F%28%28x%2B7%29%29\" = \"3%2A%281%2F%28%28x-7%29%28x%2B7%29%29%29%29\"
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\n" ); document.write( "Multiply by (x-7)(x+7), clears the denominators and you have:
\n" ); document.write( "3(x+7) - 2(x-7) = 3
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\n" ); document.write( "3x + 21 - 2x + 14 = 3
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\n" ); document.write( "3x - 2x + 35 = 3
\n" ); document.write( ":
\n" ); document.write( "x = 3 - 35
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\n" ); document.write( "x = -32 \n" ); document.write( "
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