document.write( "Question 361946: Solve
\n" ); document.write( "x^2+6x=16
\n" ); document.write( "use the quadratic formula to find the exact solution
\n" ); document.write( "

Algebra.Com's Answer #257992 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Hi,
\n" ); document.write( "x^2+6x=16
\n" ); document.write( "x^2+6x-16 = 0
\n" ); document.write( "Solve using the quadratic formula
\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%2B6x%2B-16+=+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=%286%29%5E2-4%2A1%2A-16=100\".
\n" ); document.write( "
\n" ); document.write( " Discriminant d=100 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28-6%2B-sqrt%28+100+%29%29%2F2%5Ca\".
\n" ); document.write( "
\n" ); document.write( " \"x%5B1%5D+=+%28-%286%29%2Bsqrt%28+100+%29%29%2F2%5C1+=+2\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%286%29-sqrt%28+100+%29%29%2F2%5C1+=+-8\"
\n" ); document.write( "
\n" ); document.write( " Quadratic expression \"1x%5E2%2B6x%2B-16\" can be factored:
\n" ); document.write( " \"1x%5E2%2B6x%2B-16+=+1%28x-2%29%2A%28x--8%29\"
\n" ); document.write( " Again, the answer is: 2, -8.\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%2B6%2Ax%2B-16+%29\"
\n" ); document.write( " \n" ); document.write( "
\n" );