document.write( "Question 640401: A pleasant day! please help in this one.\r
\n" ); document.write( "\n" ); document.write( "find a quadratic equation with integral coefficients whose roots are the reciprocals of the roots of:\r
\n" ); document.write( "\n" ); document.write( "x^2 + 2x - 15 = 0\r
\n" ); document.write( "\n" ); document.write( "Thank you very much!!!
\n" ); document.write( "

Algebra.Com's Answer #403177 by sachi(548)\"\" \"About 
You can put this solution on YOUR website!
x^2 + 2x - 15 = 0
\n" ); document.write( "or x^2 + 5x-3x - 15 = 0
\n" ); document.write( "or x[x+5]-3[x+5]=0
\n" ); document.write( "or [x+5][x-3]=0
\n" ); document.write( "or x=-5 or 3
\n" ); document.write( "new roots are -1/5 & 1/3
\n" ); document.write( "so the eqn is x^2-x[-1/5+1/3]+{-1/5}*1/3
\n" ); document.write( "or x^2-2x/15-1/15=0
\n" ); document.write( "or 15x^2-2x-1=0
\n" ); document.write( "ans
\n" ); document.write( "
\n" );