document.write( "Question 224912: Solve.
\n" );
document.write( "The sq root of (9x+55)=x+5\r
\n" );
document.write( "\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #168006 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Solve. \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "Square both sides \n" ); document.write( "9x + 55 = (x+5)^2 \n" ); document.write( ": \n" ); document.write( "FOIL the right side \n" ); document.write( "9x + 55 = x^2 + 10x + 25 \n" ); document.write( ": \n" ); document.write( "Combine on the right \n" ); document.write( "0 = x^2 + 10x - 9x + 25 - 55 \n" ); document.write( ": \n" ); document.write( "x^2 + x - 30 = 0 \n" ); document.write( ": \n" ); document.write( "Factors to \n" ); document.write( "(x+6)(x-5) = 0 \n" ); document.write( ": \n" ); document.write( "Two solutions \n" ); document.write( "x = -6 \n" ); document.write( "and \n" ); document.write( "x = 5 \n" ); document.write( ": \n" ); document.write( "Check both solutions in original equation \n" ); document.write( "only x = 5 is valid\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |