document.write( "Question 307020: The sum of a number and it's reciprocal is 10 over 3. What is the number? \n" ); document.write( "
Algebra.Com's Answer #219622 by themathtutor2009(81)![]() ![]() ![]() You can put this solution on YOUR website! x+1/x=10/3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(x^2+1)/x=10/3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3(x^2+1)=10x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3x^2+3=10x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3x^2-10x+3=0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(x-3)(3x-1)=0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x-3=0 or 3x-1=0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x=3 or x=1/3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Number is 3 or 1/3 \n" ); document.write( " |