document.write( "Question 972058: Fans can now have a better view of wolverine football, after the instillasion of 40% larger screens in Michigan stadium's end zones. Each screen covers 3995ft^2 of a new 6696 square foot scoreboard structure. \r
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document.write( "A) the screen in Michigan Stadium is a rectangle with length 9ft less than twice its width. Find the length and width of the screen.
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document.write( "B) the scoreboard structure is a rectangle with length 16ft less than twice its width. Find the length and width of the scoreboard. \n" );
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Algebra.Com's Answer #594459 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! width= x length is 2x-9\r \n" ); document.write( "\n" ); document.write( "Product is x(2x-9) = 3995 ft^2 ft *ft on the left, so units are fine.\r \n" ); document.write( "\n" ); document.write( "2x^2-9x-3995=0 factors are 799 and 5\r \n" ); document.write( "\n" ); document.write( "look at discriminant b^2-4ac=32041, and perfect square of 179 (81+ 4*2*3995)\r \n" ); document.write( "\n" ); document.write( "x=-(1/4) {9+/- 179) \n" ); document.write( "negative answer not used. (1/4) 188=47 That is width. Length is 85. product is 3995 ft^2\r \n" ); document.write( "\n" ); document.write( "Scoreboard structure \n" ); document.write( "x=width \n" ); document.write( "2x-16=length\r \n" ); document.write( "\n" ); document.write( "x(2x-16)=6696 \n" ); document.write( "2x^2-16x-6696=0 \n" ); document.write( "x^2-8x-3348=0 (divide by two) \n" ); document.write( "again, look at discriminant sqrt(b^2-4ac) =sqrt{ 64+ (4*3348)}=116 \n" ); document.write( "x= (1/2) [8+116] (negative root extraneous) =124 \n" ); document.write( "width is 62 \n" ); document.write( "length is 108 \n" ); document.write( "product is 6696 ft^2 \n" ); document.write( " |