document.write( "Question 903032: the perimeter of a garden is 27 ft, and the area is 35 ft^2 . find the length and the width of
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Algebra.Com's Answer #547694 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
2(35/w) + 2w = 27ft
\n" ); document.write( "2w^2 - 27w + 70 = 0
\n" ); document.write( "dimensions are 10ft by 3.5ft
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Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation \"ax%5E2%2Bbx%2Bc=0\" (in our case \"2x%5E2%2B-27x%2B70+=+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=%28-27%29%5E2-4%2A2%2A70=169\".
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\n" ); document.write( " Discriminant d=169 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28--27%2B-sqrt%28+169+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%28-27%29%2Bsqrt%28+169+%29%29%2F2%5C2+=+10\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%28-27%29-sqrt%28+169+%29%29%2F2%5C2+=+3.5\"
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\n" ); document.write( " Quadratic expression \"2x%5E2%2B-27x%2B70\" can be factored:
\n" ); document.write( " \"2x%5E2%2B-27x%2B70+=+2%28x-10%29%2A%28x-3.5%29\"
\n" ); document.write( " Again, the answer is: 10, 3.5.\n" ); document.write( "Here's your graph:
\n" ); document.write( "\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+2%2Ax%5E2%2B-27%2Ax%2B70+%29\"
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