document.write( "Question 863803: A rectangular dog pen must have an area of 300 square feet. The length must be 50 feet longer than the width. What are the dimensions of the pen. \r
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Algebra.Com's Answer #520615 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
 
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\n" ); document.write( "A = Lw =(w+50)w = 300ft^2
\n" ); document.write( " w^2 + 50x - 300 = 0
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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%2B50x%2B-300+=+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=%2850%29%5E2-4%2A1%2A-300=3700\".
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\n" ); document.write( " Discriminant d=3700 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28-50%2B-sqrt%28+3700+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%2850%29%2Bsqrt%28+3700+%29%29%2F2%5C1+=+5.4138126514911\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%2850%29-sqrt%28+3700+%29%29%2F2%5C1+=+-55.4138126514911\"
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\n" ); document.write( " Quadratic expression \"1x%5E2%2B50x%2B-300\" can be factored:
\n" ); document.write( " \"1x%5E2%2B50x%2B-300+=+1%28x-5.4138126514911%29%2A%28x--55.4138126514911%29\"
\n" ); document.write( " Again, the answer is: 5.4138126514911, -55.4138126514911.\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%2B50%2Ax%2B-300+%29\"
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