document.write( "Question 450507: Could you please help me to solve this problem.The problem -If one zero of a polynomial (b^2+4)x^2+13x+4b is the reciprocal of the other,then find the value of b.I have sent this problem earlier but I didn't got the solution yet. \n" ); document.write( "
Algebra.Com's Answer #309848 by sudhanshu_kmr(1152)![]() ![]() You can put this solution on YOUR website! \r \n" ); document.write( "\n" ); document.write( "Let roots are z and 1/z . \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "product of roots i.e z * 1/z = [ 4b/ (b^2+4)]\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve 1 = 4b/ (b^2+4)\r \n" ); document.write( "\n" ); document.write( "=> b^2 + 4 = 4b \r \n" ); document.write( "\n" ); document.write( "=> b^2 - 4b +4 = 0\r \n" ); document.write( "\n" ); document.write( "=> (b-2)^2 = 0\r \n" ); document.write( "\n" ); document.write( "so, b = 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |