document.write( "Question 34176: \"+6%2Fx+%2B+18%2F%28x%2B8%29+=+8\" just solve
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #20468 by elephantsize(7)\"\" \"About 
You can put this solution on YOUR website!
6/x + 18/(x + 8) = 8
\n" ); document.write( "=> {6(x+8)+ 18x}/x(x+8) = 8
\n" ); document.write( "=> (24x+8)/(x^2+8x)=8
\n" ); document.write( "=> 24x+8 = 8x^2 + 64x
\n" ); document.write( "=> 8x^2 + 40x - 8 = 0
\n" ); document.write( "=> x^2 + 5x - 1 = 0
\n" ); document.write( "=> \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation \"ax%5E2%2Bbx%2Bc=0\" (in our case \"1x%5E2%2B5x%2B-1+=+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=%285%29%5E2-4%2A1%2A-1=29\".
\n" ); document.write( "
\n" ); document.write( " Discriminant d=29 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28-5%2B-sqrt%28+29+%29%29%2F2%5Ca\".
\n" ); document.write( "
\n" ); document.write( " \"x%5B1%5D+=+%28-%285%29%2Bsqrt%28+29+%29%29%2F2%5C1+=+0.192582403567252\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%285%29-sqrt%28+29+%29%29%2F2%5C1+=+-5.19258240356725\"
\n" ); document.write( "
\n" ); document.write( " Quadratic expression \"1x%5E2%2B5x%2B-1\" can be factored:
\n" ); document.write( " \"1x%5E2%2B5x%2B-1+=+%28x-0.192582403567252%29%2A%28x--5.19258240356725%29\"
\n" ); document.write( " Again, the answer is: 0.192582403567252, -5.19258240356725.\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-1+%29\"

\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );