document.write( "Question 921208: a rectangular sign must have an area of 11 square yards. Its length must be 6 yards more than its width. \n" ); document.write( "
Algebra.Com's Answer #558856 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
 
\n" ); document.write( "Hi,
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\n" ); document.write( "A = Lw
\n" ); document.write( "(w+6)w = 11 yd^2\r
\n" ); document.write( "\n" ); document.write( "w^2 + 6w -11 = 0 (tossing out negative solution for unit measure)
\n" ); document.write( "w = 1.47213595499958, and L = 7.47213595499958
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Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation \"ax%5E2%2Bbx%2Bc=0\" (in our case \"1x%5E2%2B6x%2B-11+=+0\") has the following solutons:
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\n" ); document.write( " \"x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca\"
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\n" ); document.write( " For these solutions to exist, the discriminant \"b%5E2-4ac\" should not be a negative number.
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\n" ); document.write( " First, we need to compute the discriminant \"b%5E2-4ac\": \"b%5E2-4ac=%286%29%5E2-4%2A1%2A-11=80\".
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\n" ); document.write( " Discriminant d=80 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28-6%2B-sqrt%28+80+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%286%29%2Bsqrt%28+80+%29%29%2F2%5C1+=+1.47213595499958\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%286%29-sqrt%28+80+%29%29%2F2%5C1+=+-7.47213595499958\"
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\n" ); document.write( " Quadratic expression \"1x%5E2%2B6x%2B-11\" can be factored:
\n" ); document.write( " \"1x%5E2%2B6x%2B-11+=+1%28x-1.47213595499958%29%2A%28x--7.47213595499958%29\"
\n" ); document.write( " Again, the answer is: 1.47213595499958, -7.47213595499958.\n" ); document.write( "Here's your graph:
\n" ); document.write( "\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B6%2Ax%2B-11+%29\"
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