document.write( "Question 121819: May I have some help with the following equation?\r
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document.write( "(x+1/x)^2 + 4(x+1/x)+ 3=0 \n" );
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Algebra.Com's Answer #89441 by oscargut(2103) You can put this solution on YOUR website! Let z=x+1/x then z^2+4z+3=0 then z=-1 or -3 then\r \n" ); document.write( "\n" ); document.write( "x+1/x =-1 or x+1/x=-3 \r \n" ); document.write( "\n" ); document.write( "if x+1/x = -1 then x^2+1=-x then x^2+x+1=0 ( no real solution) \n" ); document.write( "if x+1/x = -3 then x^2+1=-3x then x^2+3x+1=0 then\r \n" ); document.write( "\n" ); document.write( "x=(-3+sqrt(5))/2 or\r \n" ); document.write( "\n" ); document.write( "x=(-3-sqrt(5))/2 \n" ); document.write( " |