document.write( "Question 468239: A 25-foot ladder is placed so that it reaches to a point on the wall that is 3 feet higher than 3 times the distance from the base of the wall to the base of the ladder
\n" ); document.write( "How far from the wall is the base of the ladder
\n" ); document.write( " How high does the ladder reach
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Algebra.Com's Answer #321278 by mananth(16946)\"\" \"About 
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the distance from the base of the wall to the base of the ladder =x\r
\n" ); document.write( "\n" ); document.write( "wall touching height = 3x+3\r
\n" ); document.write( "\n" ); document.write( "Ladder =25 feet\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B%283x%2B3%29%5E2=25%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B9x%5E2%2B18x%2B9=625\"\r
\n" ); document.write( "\n" ); document.write( "\"10x%5E2%2B18x-616=0\"\r
\n" ); document.write( "\n" ); document.write( "Find the roots of the equation by quadratic formula
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\n" ); document.write( "a= 10 ,b= 18 ,c= -616
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\n" ); document.write( "b^2-4ac= 324 + 24640
\n" ); document.write( "b^2-4ac= 24964
\n" ); document.write( "\"x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"
\n" ); document.write( "\"x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29\"
\n" ); document.write( "\"x1=%28-12%2Bsqrt%2824%29%29%2F%2812%29\"
\n" ); document.write( "x1=( -18 + 158 )/ 20
\n" ); document.write( "x1= 7
\n" ); document.write( "x2=( -18 -158 ) / 20
\n" ); document.write( "x2= -8.8
\n" ); document.write( "Ignore negative value
\n" ); document.write( "7 feet from wall
\n" ); document.write( "3x+3 =24 feet ladder touching the wall
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