document.write( "Question 815936: how to solve this problem and can you show the work please 1/x + 1/x+5 = x+6/x+5
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Algebra.Com's Answer #491315 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
\"1%2Fx\" + \"1%2F%28%28x%2B5%29%29\" = \"%28%28x%2B6%29%29%2F%28%28x%2B5%29%29\"
\n" ); document.write( "multiply each term by x(x+5), this gets rid of the denominators and we have
\n" ); document.write( "(x+5) + x = x(x+6)
\n" ); document.write( "x + 5 + x = x^2 + 6x
\n" ); document.write( "2x + 5 = x^2 + 6x
\n" ); document.write( "Arrange as a quadratic equation on the right
\n" ); document.write( "0 = x^2 + 6x - 2x - 5
\n" ); document.write( "x^2 + 4x - 5 = 0
\n" ); document.write( "Factors to
\n" ); document.write( "(x+5)(x-1) = 0
\n" ); document.write( "Two solutions
\n" ); document.write( "x = -5
\n" ); document.write( "x = 1
\n" ); document.write( "When you try these solutions in the original problem, you can see that only
\n" ); document.write( "x = 1 is a valid solution, x=-5 gives us denominators of 0 \n" ); document.write( "
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