document.write( "Question 445209: i'm trying to show a=b or a=1/b without plugging in the values for a.\r
\n" ); document.write( "\n" ); document.write( "this is the equation\r
\n" ); document.write( "\n" ); document.write( "a+1/a=b+1/b\r
\n" ); document.write( "\n" ); document.write( "i have tried multiplying both sides by ab
\n" ); document.write( "i tried the quadratic equation but that didn't work very well cause i couldn't get the square root out\r
\n" ); document.write( "\n" ); document.write( "i just need a step by step explanation of how to get there cause its driving me crazy and i think i'm just missing something simple\r
\n" ); document.write( "\n" ); document.write( "please remember. i know how to substitute. i'm basically proving a= b,1/b
\n" ); document.write( "which is why i tried making it a quadratic because i knew there were 2 answers\r
\n" ); document.write( "\n" ); document.write( "thank you very much
\n" ); document.write( "i hope you can help
\n" ); document.write( "

Algebra.Com's Answer #306747 by mananth(16946)\"\" \"About 
You can put this solution on YOUR website!
a+(1/a)= b+(1/b)
\n" ); document.write( "\"%28a%5E2%2B1%29%2Fa=+%28b%2A2%2B1%29%2Fb\"
\n" ); document.write( "multiply by ab
\n" ); document.write( "\"b%28a%5E2%2B1%29=a%28b%5E2%2B1%29\"
\n" ); document.write( "\"ba%5E2%2Bb=ab%5E2%2Ba\"
\n" ); document.write( "\"ba%5E2-ab%5E2=a-b\"
\n" ); document.write( "ab(a-b)=(a-b)
\n" ); document.write( "/(a-b)
\n" ); document.write( "ab=1
\n" ); document.write( "a=1/b
\n" ); document.write( "
\n" );