document.write( "Question 598399: Corbin was driving his car at a speed of r miles per hour, when he had to stop suddenly. It took the car 254 feet to stop. The formula relating the distance d in feet required to stop to the speed r in miles per hour is d=0.05r(squared)+r. To the nearest mile per hour, how fast was Corbin traveling just before he braked? \n" ); document.write( "
Algebra.Com's Answer #378631 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Corbin was driving his car at a speed of r miles per hour, when he had to stop suddenly.
\n" ); document.write( " It took the car 254 feet to stop.
\n" ); document.write( " The formula relating the distance d in feet required to stop to the speed r in miles per hour is d=0.05r(squared)+r.
\n" ); document.write( " To the nearest mile per hour, how fast was Corbin traveling just before he braked?
\n" ); document.write( ":
\n" ); document.write( "d = \".05r%5E2%2Br\"
\n" ); document.write( "d = 254, find r
\n" ); document.write( "\".05r%5E2%2Br\" = 254
\n" ); document.write( "A quadratic equation:
\n" ); document.write( "\".05r%5E2+%2B+r+-+254\" = 0
\n" ); document.write( "Use the quadratic formula to find r
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "In this problem; x=r; a=.05; b=1; c= -254
\n" ); document.write( "\"r+=+%28-1+%2B-+sqrt%281%5E2-4%2A.05%2A-254+%29%29%2F%282%2A.05%29+\"
\n" ); document.write( "Do the math and you should get a positive solution of:
\n" ); document.write( "r ~ 62 mph
\n" ); document.write( "
\n" );