document.write( "Question 972304: a regtangular auditorium seats 1050 people. the number of seats in each row exceeds the number of rows by 17. find the number of seats in each row \n" ); document.write( "
Algebra.Com's Answer #594693 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! a rectangular auditorium seats 1050 people. \n" ); document.write( " the number of seats in each row exceeds the number of rows by 17. \n" ); document.write( " find the number of seats in each row \n" ); document.write( ": \n" ); document.write( "let x = no. rows \n" ); document.write( " \"the number of seats in each row exceeds the number of rows by 17.\", therefore: \n" ); document.write( "(x+17) = no. of seats in each row \n" ); document.write( ": \n" ); document.write( "Total seats = no. of rows * no. of seats in each row; therefore: \n" ); document.write( "x(x+17) = 1050 \n" ); document.write( "x^2 + 17x - 1050 = 0 \n" ); document.write( "use the quadratic formula to find x, a=1; b=17; c=-1050 \n" ); document.write( "I got solutions of of \n" ); document.write( "x = -42 \n" ); document.write( "x = 25 \n" ); document.write( "we want the positive solution here \n" ); document.write( "x = 25 rows \n" ); document.write( "then \n" ); document.write( "25 + 17 = 42 seats in each row \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check this, find the total with these values \n" ); document.write( "25 * 42 = 1050 \n" ); document.write( " |