document.write( "Question 549665: Using Quadratic Formula:
\n" ); document.write( "The hypotenuse of a right triangle is 6 meters long. One leg is 1 meter longer than the other. Find the lengths of both legs of the triangle, to the nearest hindredth of a meter.
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Algebra.Com's Answer #357927 by mananth(16949)\"\" \"About 
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one leg x
\n" ); document.write( "the other leg x+1\r
\n" ); document.write( "\n" ); document.write( "hypotenuse = 6m\r
\n" ); document.write( "\n" ); document.write( "Pythagoras theorem
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\n" ); document.write( "(Hyp)^2= (leg1)^2+Leg2^2\r
\n" ); document.write( "\n" ); document.write( "6^2=x^2+(x+1)^2
\n" ); document.write( "36=x^2+x^2+2x+1
\n" ); document.write( "36=2x^2+2x+1
\n" ); document.write( "2x^2+2x-35=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= 2 ,b= 2 ,c= -35
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\n" ); document.write( "b^2-4ac= 4 + 280
\n" ); document.write( "b^2-4ac= 284
\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%2B21%29%2F%284%29\"
\n" ); document.write( "x1=( -2 + 16.85 )/ 4
\n" ); document.write( "x1= 3.71
\n" ); document.write( "x2=( -2 -16.85 ) / 4
\n" ); document.write( "x2= -4.71
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