document.write( "Question 918902: The length of a rectangle is 10cm more than its width if the area is 80cm^2 calculate it's perimeter \n" ); document.write( "
Algebra.Com's Answer #557306 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
 
\n" ); document.write( "Hi,
\n" ); document.write( " .
\n" ); document.write( "A = (w+10)w = 80cm^2
\n" ); document.write( "w^2 + 10w - 80 = 0
\n" ); document.write( "(Tossing out the negative solution for unit measure)
\n" ); document.write( "w = 5.247 (rounded) and L = 15.247
\n" ); document.write( "P = 2(20.247) cm = 40.247
\n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation \"ax%5E2%2Bbx%2Bc=0\" (in our case \"1x%5E2%2B10x%2B-80+=+0\") has the following solutons:
\n" ); document.write( "
\n" ); document.write( " \"x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca\"
\n" ); document.write( "
\n" ); document.write( " For these solutions to exist, the discriminant \"b%5E2-4ac\" should not be a negative number.
\n" ); document.write( "
\n" ); document.write( " First, we need to compute the discriminant \"b%5E2-4ac\": \"b%5E2-4ac=%2810%29%5E2-4%2A1%2A-80=420\".
\n" ); document.write( "
\n" ); document.write( " Discriminant d=420 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28-10%2B-sqrt%28+420+%29%29%2F2%5Ca\".
\n" ); document.write( "
\n" ); document.write( " \"x%5B1%5D+=+%28-%2810%29%2Bsqrt%28+420+%29%29%2F2%5C1+=+5.2469507659596\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%2810%29-sqrt%28+420+%29%29%2F2%5C1+=+-15.2469507659596\"
\n" ); document.write( "
\n" ); document.write( " Quadratic expression \"1x%5E2%2B10x%2B-80\" can be factored:
\n" ); document.write( " \"1x%5E2%2B10x%2B-80+=+1%28x-5.2469507659596%29%2A%28x--15.2469507659596%29\"
\n" ); document.write( " Again, the answer is: 5.2469507659596, -15.2469507659596.\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%2B10%2Ax%2B-80+%29\"
\n" ); document.write( " \n" ); document.write( "
\n" );