document.write( "Question 860161: the width of a rectangle is 5cm greater than its length. if the area of the reactangle is 124cm^2, what are the approximate dimensions of the rectangle? \n" ); document.write( "
Algebra.Com's Answer #518180 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
 
\n" ); document.write( "Hi,
\n" ); document.write( "Let x represent the length. The width is (x+5)
\n" ); document.write( "x(x+5) = 124cm^2
\n" ); document.write( "x^2 + 5x = 124
\n" ); document.write( "x^2 + 5x - 124 = 0
\n" ); document.write( " x = `8.9, the length. The width ` 13.9
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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%2B5x%2B-124+=+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=%285%29%5E2-4%2A1%2A-124=521\".
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\n" ); document.write( " Discriminant d=521 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28-5%2B-sqrt%28+521+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%285%29%2Bsqrt%28+521+%29%29%2F2%5C1+=+8.91271221051333\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%285%29-sqrt%28+521+%29%29%2F2%5C1+=+-13.9127122105133\"
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\n" ); document.write( " Quadratic expression \"1x%5E2%2B5x%2B-124\" can be factored:
\n" ); document.write( " \"1x%5E2%2B5x%2B-124+=+1%28x-8.91271221051333%29%2A%28x--13.9127122105133%29\"
\n" ); document.write( " Again, the answer is: 8.91271221051333, -13.9127122105133.\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%2B5%2Ax%2B-124+%29\"
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