document.write( "Question 258528: Please Help Me Solve This Quadratic Equation Application:\r
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document.write( "The Border of uniform width around a pool has outer dimensions of 26 feet by 66 feet. Find the width of the border if the pool has an area of 1200 square feet \n" );
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Algebra.Com's Answer #190337 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! (26-2x)(66-2x)=1,200 \n" ); document.write( "1,716-132x-52x+4x^2=1,200 \n" ); document.write( "4x^2-184x+1,716-1,200=0 \n" ); document.write( "4x^2-184x+516=0 \n" ); document.write( "4(x^2-46x+129)=0 \n" ); document.write( "4(x-43)(x-3)=0 \n" ); document.write( "x-3=0 \n" ); document.write( "x=3 ft. is the width of the border around the pool. \n" ); document.write( "Proof: \n" ); document.write( "(26-2*3)(66-2*3)=1,200 \n" ); document.write( "(26-6)(66-6)=1,200 \n" ); document.write( "20*60=1,200 \n" ); document.write( "1,200=1,200 \n" ); document.write( " |