document.write( "Question 141301: Bob and Tom are mowing a yard which is 80' X 40'. They will each mow 1/2 of the yeard. They must mow the yeard in a spiral. How far in does Bob mow before turning it over to Tom? What equation is used to solve this? \n" ); document.write( "
Algebra.Com's Answer #102969 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! 80*40/2=(80-x)(40-x) \n" ); document.write( "3200/2=3200-120x+x^2 \n" ); document.write( "1600=3200-120x+x^2 \n" ); document.write( "x^2-120x+3200-1600=0 \n" ); document.write( "x^2-120x+1600=0 \n" ); document.write( "using the quadratic equation: \n" ); document.write( "x=(120+-sqrt[-120^2-4*1*1600])/2*1 \n" ); document.write( "x=(120+-sqrt14,400-6,400])/2 \n" ); document.write( "x=(120+-sqrt8,000)/2 \n" ); document.write( "x=(120+-89.44)/2 \n" ); document.write( "x=(120-89.44)/2 \n" ); document.write( "x=30.56/2 \n" ); document.write( "x=15.28' is the width of the mowed area that contains one half the total area. \n" ); document.write( " |