document.write( "Question 344726: 14x^2-27x-20=0 \n" ); document.write( "
Algebra.Com's Answer #246669 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
Hi\r
\n" ); document.write( "\n" ); document.write( "\"14x%5E%282%29-27x-20=0\"
\n" ); document.write( "Using the Quadratic Formula to solve:
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"\r
\n" ); document.write( "\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 \"14x%5E2%2B-27x%2B-20+=+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=%28-27%29%5E2-4%2A14%2A-20=1849\".
\n" ); document.write( "
\n" ); document.write( " Discriminant d=1849 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28--27%2B-sqrt%28+1849+%29%29%2F2%5Ca\".
\n" ); document.write( "
\n" ); document.write( " \"x%5B1%5D+=+%28-%28-27%29%2Bsqrt%28+1849+%29%29%2F2%5C14+=+2.5\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%28-27%29-sqrt%28+1849+%29%29%2F2%5C14+=+-0.571428571428571\"
\n" ); document.write( "
\n" ); document.write( " Quadratic expression \"14x%5E2%2B-27x%2B-20\" can be factored:
\n" ); document.write( " \"14x%5E2%2B-27x%2B-20+=+14%28x-2.5%29%2A%28x--0.571428571428571%29\"
\n" ); document.write( " Again, the answer is: 2.5, -0.571428571428571.\n" ); document.write( "Here's your graph:
\n" ); document.write( "\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+14%2Ax%5E2%2B-27%2Ax%2B-20+%29\"
\n" ); document.write( " \n" ); document.write( "
\n" );