document.write( "Question 38173: Please help!!
\n" );
document.write( "x=1+6 sqrt x-9
\n" );
document.write( "Thank you! \n" );
document.write( "
Algebra.Com's Answer #23677 by fractalier(6550)![]() ![]() You can put this solution on YOUR website! Okay, from x = 1 + 6sqrt(x-9), move the one over first and get \n" ); document.write( "x - 1 = 6sqrt(x-9) \n" ); document.write( "Now square both sides \n" ); document.write( "x^2 - 2x + 1 = 36(x - 9) \n" ); document.write( "Now expand, combine, factor, solve and check... \n" ); document.write( "x^2 - 2x + 1 = 36x - 324 \n" ); document.write( "x^2 - 38x + 325 = 0 \n" ); document.write( "(x - 13)(x - 25) = 0 \n" ); document.write( "x = 13 or x = 25 \n" ); document.write( "Both check out, so we have two solutions... \n" ); document.write( " |