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 #306748 by AnlytcPhil(1806) $\"\"$ $\"About$

You can put this solution on YOUR website!
a + 1/a = b + 1/b
\n" ); document.write( "

\r\n" );
document.write( "Clear of fractions by multiplying through by ab\r\n" );
document.write( "\r\n" );
document.write( "a²b + b = ab² + a\r\n" );
document.write( "\r\n" );
document.write( "Get 0 on the right:\r\n" );
document.write( "\r\n" );
document.write( "a²b + b - ab² - a = 0\r\n" );
document.write( "\r\n" );
document.write( "Rearrange the terms:\r\n" );
document.write( "\r\n" );
document.write( "a²b - ab² - a + b = 0\r\n" );
document.write( "\r\n" );
document.write( "Factor by grouping:\r\n" );
document.write( "\r\n" );
document.write( "ab(a - b) - (a - b) = 0\r\n" );
document.write( "\r\n" );
document.write( "(a - b)(ab - 1) = 0\r\n" );
document.write( "\r\n" );
document.write( "Us the zero factor principle:\r\n" );
document.write( "\r\n" );
document.write( "a - b = 0;   ab - 1 = 0\r\n" );
document.write( "\r\n" );
document.write( "    a = b;       ab = 1\r\n" );
document.write( "     \r\n" );
document.write( "                  a = 1/b\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( "

\n" );