document.write( "Question 550544: find x+1/x if x-1/x= square root of 5 \n" ); document.write( "
Algebra.Com's Answer #358921 by mathstutor494(120)![]() ![]() You can put this solution on YOUR website! x-1/x = square root of 5 \n" ); document.write( "Squaring both sides \n" ); document.write( ">x^2+(1/x^2)-2=5 \n" ); document.write( ">x^2+(1/x^2)=5+2 \n" ); document.write( ">x^2+(1/x^2)=7\r \n" ); document.write( "\n" ); document.write( "Adding 2 to both sides\r \n" ); document.write( "\n" ); document.write( ">x^2+(1/x^2)+2=7+2 \n" ); document.write( ">(x+1/x)^2= 3^2 \n" ); document.write( "Square root of above eqn... \n" ); document.write( "Ans x+1/x=3 \n" ); document.write( " \n" ); document.write( " |