document.write( "Question 273176: A person on attempting to arrange the chairs for a function in the form of a square found that
\n" );
document.write( "4 chairs were left over. When he increased the size of the square by one chair. He found
\n" );
document.write( "that he was short of 25 chairs. Find the number of chairs. \n" );
document.write( "
Algebra.Com's Answer #200029 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A person on attempting to arrange the chairs for a function in the form of a square found that 4 chairs were left over. \n" ); document.write( " When he increased the size of the square by one chair. He found that he was short of 25 chairs. \n" ); document.write( " Find the number of chairs. \n" ); document.write( ": \n" ); document.write( "Let (x^2 + 4) = no. of chairs \n" ); document.write( ": \n" ); document.write( "\"When he increased the size of the square by one chair. He found that he was short of 25 chairs.\" \n" ); document.write( "x^2 + 4 = (x+1)^2 - 25 \n" ); document.write( ": \n" ); document.write( "x^2 + 4 = x^2 + 2x + 1 - 25 \n" ); document.write( ": \n" ); document.write( "0 = x^2 - x^2 + 2x - 24 - 4 \n" ); document.write( ": \n" ); document.write( "0 = 2x - 28 \n" ); document.write( ": \n" ); document.write( "2x = 28 \n" ); document.write( "x = 14 \n" ); document.write( ": \n" ); document.write( "14^2 + 4 = 200 chairs \n" ); document.write( " |