document.write( "Question 661094: How do I solve this equation:
\n" ); document.write( "f(x)= 24x^2+2x=29
\n" ); document.write( "

Algebra.Com's Answer #411520 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
 
\n" ); document.write( "Hi,
\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 \"24x%5E2%2B2x%2B-29+=+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=%282%29%5E2-4%2A24%2A-29=2788\".
\n" ); document.write( "
\n" ); document.write( " Discriminant d=2788 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28-2%2B-sqrt%28+2788+%29%29%2F2%5Ca\".
\n" ); document.write( "
\n" ); document.write( " \"x%5B1%5D+=+%28-%282%29%2Bsqrt%28+2788+%29%29%2F2%5C24+=+1.05836489853701\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%282%29-sqrt%28+2788+%29%29%2F2%5C24+=+-1.14169823187034\"
\n" ); document.write( "
\n" ); document.write( " Quadratic expression \"24x%5E2%2B2x%2B-29\" can be factored:
\n" ); document.write( " \"24x%5E2%2B2x%2B-29+=+24%28x-1.05836489853701%29%2A%28x--1.14169823187034%29\"
\n" ); document.write( " Again, the answer is: 1.05836489853701, -1.14169823187034.\n" ); document.write( "Here's your graph:
\n" ); document.write( "\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+24%2Ax%5E2%2B2%2Ax%2B-29+%29\"
\n" ); document.write( " \n" ); document.write( "
\n" );